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2018 | OriginalPaper | Buchkapitel

Antonio Campillo

A Portrayal of His Life and Work

verfasst von : Francisco Monserrat, Sebastià Xambó-Descamps

Erschienen in: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Verlag: Springer International Publishing

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Abstract

The main purpose is to present a biographical portrayal of Antonio Campillo López. In addition to the most relevant aspects of his life and academic career, we offer a panoramic view of his scientific work in fields such as singularity theory, commutative algebra, algebraic geometry, or coding theory. We also stress that his endeavors have been closely linked to an important work of research training, from which a thriving school has emerged. Finally, his vision and influence will be considered through his numerous institutional and scientific policy responsibilities at all levels.

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Nächstes Kapitel Singularities in Positive Characteristic: Equisingularity, Classification, Determinacy

Constituted by Daniel Miguel San José, rector of the UVA; Pablo Raphael de la Madrid, Director of the Cultural Institute of the Embassy of Mexico in Spain; Gelasio Salazar Anaya, President of the SMM; Francisco Marcellán Español, President of the RSME; and by Edgar Martínez Moro, President of the Organizing Committee of the meeting.

“Antonio Campillo, bosquejos sobre su vida y obra”, by S. Xambó (https://mat-web.upc.edu/people/sebastia.xambo/Bios/AC/2017-Xambo--s-AC.pdf)

http://www.arbolmat.com/. Since February 2018, however, ArbolMat belongs solely to RSME and its name is RSME Gallery of Mathematics, Science and Technology.

http://www.arbolmat.com/antonio-campillo/

Licenciatura en Matemáticas. It was equivalent, roughly speaking, to a master’s degree in Mathematics in todays terms.

Formación de Personal Investigador, i.e. Training of Research Personel.

Singularities of algebroid plane curves in positive characteristic.

Ce livre très clair, définissant tous les concepts qu’il utilise, constitue une excellente introduction à l’aspect algébrique de la classification des singularités des courbes algébroïdes (ou analytiques complexes) irréductibles, en charactéristique positive comme en caractéristique zéro. […] Ici l’outil central est le développement de Hamburger-Noether […] en plus de l’extension à la caractéristique positive, ce livre est utile par la comparison soigneuse qu’il contient entre les différents systèmes d’invariants attachés à une singularité de branche: Hamburger-Noether, Puiseux, suite de multiplicités de points infiniment voisins, semigroupe des valuations, […] On trouve aussi le lien très utile après les travaux récents de Abhyankar entre le développement de Hamburger-Noether et la théorie du contact maximal d’une branche avec d’autres branches singulières […] Le dernier chapitre étudie trois définitions possibles de l’équisingularité des branches non planes.

W. Decker, G.-M. Greuel, G. Pfister, and H. Schönemann: Singular 4-1-0 —A computer algebra system for polynomial computations, 2016. http://www.singular.uni-kl.de

F. Pham, B. Teissier: Fractions lipschitziennes d’un algèbre analytique complexe et saturation de Zariski. Actes du Congrès International des Mathematiciens, Nice (1970), Tome 2, Gauthier-Villars, Paris (1971).

A factorization theorem for the polar of a curve with two branches. Composition Mathematica 92/3 (1994), 327–375.

C. Galindo and F. Monserrat: Algebraic integrability of foliations of the plane, Journal of Differential Equations 231/2 (2006), 611–632.

The cone of curves associated to a plane configuration, Commentarii Mathematici Helvectici 80/1 (2005), 75–93.

On the cone of curves and of line bundles of a rational surface, International Journal of Mathematics 15/4 (2004), 393–407.

F. Monserrat: Curves having one place at infinity and linear systems on rational surfaces, Journal of Pure and Applied Algebra 211/3 (2007), 685–701.

D. Le Brigand and J. J. Risler: Algorithme de Brill-Noether et codes de Goppa, Bull. Soc. math. France, 116/2 (1988), 231–253.

M. Carnicer: The Poincaré problem in the nondicritical case, Annals of Mathematics 140/2 (1994), 289–294.

Agencia Nacional de Evaluación y Prospectiva, ANEP.

Ministerio de Ciencia y Tecnología, MCyT. The Plan was coordinated by the Government Presidency.

Conferencia de Decanos de Matemáticas, CDM

Agencia Nacional de Evaluación de la Calidad y Acreditación, ANECA.

Societat Catalana de Matemàtiques, Sociedad Española de Matemática Aplicada, and Sociedad de Estadística e Investigación Operativa.

Comité Español de Matemáticas, http://matematicas.uclm.es/cemat/

http://www.arbolmat.com/ (cf. Footnote 3).

Belgian Mathematical Society/Société Mathématique de Belgique, and Société Mathématique du Luxembourg.

In recent years these include the habilitation and acreditation procedures.

http://iberoamericangeometry2018.uva.es/

2009: 12/4, 613–5. 2010: 13/1, 5–6; 13/2, 203–5; 13/3, 405–7; 13/4, 603–4. 2011: 14/2, 209–10; 14/3, 403–7; 14/4, 611–2. 2012: 15/1, 5–8; 15/2, 233–4; 15/3, 415–8. 2013: 16/1, 5–8; 16/2, 205–7; 16/4, 605–9. 2014: 17/1, 5–8; 17/2, 203–6; 17/3, 405–6; 17/4, 611–3. 2015: 18/, 7–10; 18/2, 219–21.

In this issue the piece is an interesting interview by Ann Lemahieu of María Pe Pereira, winner of the 2012 edition of the José Luis Rubio de Francia Prize.

Luis Español, Historia de la RSME. RSME, November 2011.

http://www.rsme.es/org/DeclaracionRSME291111.pdf

https://en.wikipedia.org/wiki/BBVA_Foundation_Frontiers_of_Knowledge_Award

Campillo, A.: Algebroid Curves in Positive Characteristic. Lecture Notes in Mathematics, 176pp. Springer, Heildelberg (1980)

Campillo, A.: On saturations of curve singularities (any characteristic). In: Orlik, P. (ed.) Singularities. Volume 40/1 of Proceedings of Symposia in Pure Mathematics, pp. 211–220. American Mathematical Society, Providence (1983). Proceedings of the Arcata Symposium “Singularities 1981”

Campillo, A., Gonzalez-Sprinberg, G., Lejeune-Jalabert, M.: Clusters of infinitely near points. Mathematische Annalen 306(1), 169–194 (1996)MathSciNetCrossRef

Campillo, A., Delgado, F., Kiyek, K.: Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings. Manuscripta Mathematica 83(3–4), 405–423 (1994)MathSciNetCrossRef

Gusein-Zade, S., Delgado, F., Campillo, A.: The extended semigroup of a plane curve singularity. In: Proceedings of the Steklov Institute of Mathematics, vol. 221, pp. 139–156 (1998). From Trudy Matematicheskogo Instituta imeni V. A. Steklova, volume 221 (1998), 149–167. This volume was dedicated to V. I. Arnold on the occasion of his 60th birthday

Gusein-Zade, S., Delgado, F., Campillo, A.: On the monodromy at infinity of a plane curve and the Poincaré series of its ring of functions. In: Volume Dedicated to the 90th Birthday of Pontriagyn. Volume 68 of Contemporary Mathematics and Its Applications, pp. 49–54. Itogi Nauki i Tecniki, Moscow, 7

Gusein-Zade, S., Delgado, F., Campillo, A.: On the monodromy of a plane curve singularity and the Poincaré series of its ring of functions. Funct. Anal. Appl. 33(1), 56–57 (1999)MathSciNetCrossRef

Gusein-Zade, S., Delgado, F., Campillo, A.: The Alexander polynomial of a plane curve singularity and the ring of functions on the curve. Russ. Math. Surv. 54(3), 634–635 (1999)MathSciNetCrossRef

Campillo, A., Delgado, F., Gusein-Zade, S.M.: On generators of the semigroup of a plane curve singularity. J. LMS (2) 60(2), 420–430 (1999)MathSciNetCrossRef

10.

Gusein-Zade, S., Delgado, F., Campillo, A.: Integration with respect to the Euler characteristic over a function space, and the Alexander polynomial of a plane curve singularity. Russ. Math. Surv. 55(6), 1148–1149 (2000)MathSciNetCrossRef

11.

Gusein-Zade, S.M., Delgado, F., Campillo, A.: On the monodromy at infinity of a plane curve and the Poincaré series of its coordinate ring. J. Math. Sci. 105(2), 1839–1842 (2001). English version of [6]

12.

Gusein-Zade, S., Delgado, F., Campillo, A.: Integrals with respect to the euler characteristic over spaces of functions, and the alexander polynomial. Proc. Steklov Inst. Math. 238(3), 134–147 (2002)MathSciNetMATH

13.

Campillo, A., Delgado, F., Gusein-Zade, S.: The Alexander polynomial of a plane curve singularity and the ring of functions on it. Duke Math. J. 117(1), 125–156 (2003)MathSciNetCrossRef

14.

Campillo, A., Delgado, F., Gusein-Zade, S.: The Alexander polynomial of a plane curve singularity and integrals with respect to the Euler characteristic. Int. J. Math. 14(1), 47–54 (2003)MathSciNetCrossRef

15.

Campillo, A., Delgado, F., Gusein-Zade, S.: On the zeta functions of a meromorphic germ in two variables. In: Buchstaber, V.M., Krichever, I.M. (eds.) Geometry, Topology, and Mathematical Physics (S. P. Novikov’s Seminar 2002–2003). Volume 212 of Advances in Mathematical Sciences/Translations, pp. 67–74. American Mathematical Society, Providence (2004)

16.

Campillo, A., Delgado, F., Gusein-Zade, S.: Poincaré series of a rational surface singularity. Inventiones Mathematicae 155(1), 45–53 (2004)CrossRef

17.

Campillo, A., Delgado, F., Gusein-Zade, S.: On the monodromy of meromorphic germs of plane curves and the poincaré series of his ring of functions. In: Geometry, Topology, and Mathematical Physics (S. P. Novikov’s Seminar 2002–2003). Volume 212 of Advances in Mathematical Sciences/Translations, pp. 234–243. American Mathematical Society, Providence (2004)

18.

Campillo, A., Delgado, F., Gusein-Zade, S.: Poincaré series of curves on rational surface singularities. Commentarii Mathematici Helvetici 80(1), 95–102 (2005)MathSciNetMATH

19.

Campillo, A., Delgado, F., Gusein-Zade, S.: Multi-index filtrations and generalized Poincaré series. Monatshefte fúr Mathematik 150(3), 193–209 (2007)MathSciNetCrossRef

20.

Campillo, A., Delgado, F., Gusein-Zade, S.: On Poincaré series of filtrations on equivariant functions of two variables. Mosc. Math. J. 7(2), 243–255 (2007)MathSciNetMATH

21.

Gusein-Zade, S., Delgado, F., Campillo, A.: Universal abelian covers of rational surface singularities, and multi-index filtrations. Funct. Anal. Its Appl. 42(2), 83–88 (2008)MathSciNetCrossRef

22.

Campillo, A., Delgado, F., Gusein-Zade, S., Hernando, F.: Poincaré series of collections of plane valuations. Int. J. Math. 21(11), 1461–1473 (2010)CrossRef

23.

Campillo, A., Delgado, F., Gusein-Zade, S.: The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors. Funct. Anal. Other Math. 3(1), 39–46 (2010)MathSciNetCrossRef

24.

Gusein-Zade, S., Delgado, F., Campillo, A.: Alexander polynomials and Poincaré series of sets of ideals. Funct. Anal. Its Appl. 45(4), 271–277 (2011)MathSciNetCrossRef

25.

Campillo, A., Delgado, F., Gusein-Zade, S.: Equivariant Poincaré series of filtrations. Revista Matemática Complutense 26(1), 241–251 (2013)MathSciNetCrossRef

26.

Campillo, A., Delgado, F., Gusein-Zade, S.: Hilbert function, generalized Poincaré series and topology of plane valuations. Monatshefte für Mathematik 174(3), 403–412 (2014)MathSciNetCrossRef

27.

Campillo, A., Delgado, F., Gusein-Zade, S.: Equivariant Poincaré series of filtrations and topology. Arkiv för Matematik 52(1), 43–59 (2014)MathSciNetCrossRef

28.

Campillo, A., Delgado, F., Gusein-Zade, S.: On Poincaré series of filtrations. Azerbaijan J. Math. 5(2), 125–139 (2015)MathSciNetMATH

29.

Campillo, A., Delgado, F., Gusein-Zade, S.: An equivariant Poincaré series of filtrations and monodromy zeta functions. Revista Matemática Complutense 28(2), 449–467 (2015)MathSciNetCrossRef

30.

Campillo, A., Delgado, F., Gusein-Zade, S.M.: Equivariant Poincaré series and topology of valuations. Documenta Mathematica 21, 271–286 (2016)MathSciNetMATH

31.

Campillo, A., Delgado, F., Gusein-Zade, S.: On the topological type of a set of plane valuations with symmetries. Mathematische Nachrichten 290(13), 1925–1938 (2017)MathSciNetCrossRef

32.

Campillo, A., Marijuán, C.: Higher order relations for a numerical semigroup. Séminaire de Théorie des Nombres de Bordeaux 2(3), 229–240 (1991)MATH

33.

Briales, E., Campillo, A., Marijuán, C., Pisón, P.: Minimal systems of generators of ideals of semigroups. J. Pure Appl. Algebra 124(1), 7–30 (1998)MathSciNetCrossRef

34.

Briales, E., Campillo, A., Marijuán, C., Pisón, P.: Combinatorics and syzygies for semigroup algebras. Collectanea Mathematica 49(2–3), 239–256 (1998). Special Volume in Memory of Ferran Serrano

35.

Campillo, A., Galindo, C., García de la Fuente, J., Reguera, A.: Proximity and intersection inequalities for foliations on algebraic surfaces. In: Journés Singulières et Jacobiénes. Publications of the Institute Fourier de Grenoble, pp. 25–40. Institute Fourier (1994)

36.

Campillo, A., Carnicer, M., García de la Fuente, J.: Curves invariant by vector fields on algebraic varieties. J. LMS (2) 62(1), 56–70 (2000)

37.

Campillo, A., Galindo, C.: On the graded ring relative to a valuation. Manuscripta Mathematica 92, 173–189 (1997)MathSciNetCrossRef

38.

Campillo, A., Galindo, C.: The Poincaré series associated with finitely many monomial valuations. Math. Proc. Camb. Philos. Soc. 134(3), 433–443 (2003)CrossRef

39.

Campillo, A., Galindo, C.: Toric structure of the graded algebra relative to a valuation. In: Christensen, C., Sathaye, A., Sundaram, G., Bajaj, C. (eds.) Algebra, Arithmetic and Geometry with Applications. Springer, Berlin/Heidelberg (2004)CrossRef

40.

Campillo, A., Reguera, A.: Combinatorial aspects of sequences of point blowing ups. Manuscripta Mathematica 84(1), 29–46 (1994)MathSciNetCrossRef

41.

Campillo, A., Piltant, O., Reguera, A.: Cones of curves and of line bundles on surfaces associated with curves having one place at infinity. Proc. Lond. Math. Soc. 84(3), 559–580 (2002)MathSciNetCrossRef

42.

Campillo, A., Piltant, O., Reguera, A.: Cones of curves and line bundles at infinity. J. Algebra 293(2), 513–542 (2005)MathSciNetCrossRef

43.

Campillo, A., Farrán, J.I.: Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models. Finite Fields Their Appl. 6(1), 71–92 (2000)MathSciNetCrossRef

44.

Campillo, A., Farrán, J.I., Munuera, C.: On the parameters of codes coming from Arf semigroups. IEEE Trans. Inf. Theory 46(7), 2634–2638 (2000)CrossRef

45.

Campillo, A., Farrán, J.I.: Construction of AG-codes from symbolic Hamburger-Noether expressions of plane curves. Math. Comput. 71(240), 1759–1780 (2002)CrossRef

46.

Campillo, A., Farrán, J.I.: Adjoints and Codes. Rendiconti del Seminario Matematico Università e Politecnico de Torino 62(2), 19–33 (2004)MathSciNetMATH

47.

Campillo, A., Farran, J.I., Pisabarro, M.J.: Evaluation codes at singular points of algebraic differential equations. Appl. Algebra Eng. Commun. Comput. 18(1–2), 191–203 (2007)CrossRef

48.

Campillo, A., Gonzalez-Sprinberg, G., Monserrat, F.: Configurations of infinitely near points. Sao Paulo J. Math. 3(1), 113–158 (2009)MathSciNetMATH

49.

Campillo, A., Lemahieu, A.: Poincaré series for filtrations defined by discrete valuations with arbitrary center. J. Algebra 377, 66–75 (2013)MathSciNetCrossRef

50.

Campillo, A., Loeser, F., Luengo, I., Sabbah, C. (eds.): Courbes. Publications EPP. Écôle Polytechnique Paris (1988)

51.

Campillo, A., Narváez, L. (eds.): Algebraic Geometry and Singularities. Volume 134 of Progress in Mathematics. Birkhäuser, Boston/Basel/Berlin (1996)

52.

Campillo, A., Gonzalez-Sprinberg, G., Lejeune-Jalabert, M.: Amas, ideaux complets et chaines toriques. Comptes Rendus de l’Académie de Sciences – Série I – Mathématiques 315, 987–990 (1992)MATH

53.

Campillo, A., Gonzalez-Sprinberg, G., Lejeune-Jalabert, M.: Clusters, proximity inequalities and Zariski-Lipman complete ideal theory. Publicaciones Matemáticas Uruguay 6, 7–46 (1995)MathSciNet

54.

Campillo, A., Gonzalez-Sprinberg, G., Lejeune-Jalabert, M.: Enriques diagrams, resolutions and toric clusters. Comptes Rendus de l’Académie de Sciences – Série I – Mathématiques 320, 329–334 (1995)MathSciNetMATH

55.

Campillo, A., Pisón, P.: Generators for a monomial curve and graphs for the associated semigroup. Bull. Belg. Math. Soc. Série A 45(1–2), 45–58 (1993)MathSciNetMATH

56.

Campillo, A., Pisón, P.: L’ideal d’un semigroup de type fini. Comptes Rendus de l’Académie de Sciences – Série I – Mathématiques 316, 1303–1306 (1993)MathSciNetMATH

57.

Briales, E., Campillo, A., Pisón, P.: On the equations defining toric projective varieties. In: Geometric and Combinatorial Aspects of Commutative Algebra (Messina, 1999). Volume 217 of Lecture Notes in Pure and Applied Mathematics, pp. 57–66. Dekker, New York (2001)

58.

Briales, E., Campillo, A., Pisón, P., Vigneron, A.: Simplicial complexes and syzygies of lattice ideals. In: Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering (South Hadley, MA, 2000). Volume 286 of Contemporary Mathematics, pp. 169–183. American Mathematical Society, Providence (2001)

59.

Campillo, A., Pisón, P.: Toric mathematics from semigroup viewpoint. In: Ring Theory and Algebraic Geometry (León, 1999). Volume 221 of Lecture Notes in Pure and Applied Mathematics, pp. 95–112. Dekker, New York (2001)

60.

Briales, A., Campillo, A., Pisón, P., Vignerón, A.: Minimal resolution of lattices and integer linear programing. Revista Matemática Iberoamericana 19(2), 287–306 (2003)MathSciNetCrossRef

61.

Campillo, A., Gonzalez-Sprinberg, G.: On characteristic cones, clusters and chains of infinitely near points. In: Brieskorn Anniversary Volume. Volume 162 of Progress in Mathematics, pp. 251–261. Birkhäuser, Basel (1996)CrossRef

62.

Campillo, A., Gimenez, P.: Graphes arithmetiques et syzygies. Comptes Rendus de l’Académie de Sciences – Série I – Mathématiques 324, 313–316 (1997)MathSciNetMATH

63.

Campillo, A., Gimenez, P.: Syzygies of affine toric varieties. J. Algebra 225(1), 142–161 (2000)MathSciNetCrossRef

64.

Campillo, A., et al.: A Hoschschild homology criterium for the smoothness of an algebra. Commentarii Mathematici Helvetici 69, 163–168 (1994). The following people participated in the research of this paper under the acronym BACH (The Buenos Aires Cyclic Homology Group): Antonio Campillo, Jorge Alberto Guccione, Juan José Guccione, Maria Julia Redondo, Andrea Solotar and Orlando E. Villamayor

65.

Campillo, A., Olivares, J.: Plane foliations of degree different from one are determined by their singular scheme. Comptes Rendus de l’Académie de Sciences – Série I – Mathématiques 328, 877–882 (1999)MATH

66.

Campillo, A., Olivares, J.: Assigned conditions and geometry of foliations on the projective plane. In: Brasselet, J.-P., Suwa, T. (eds.) Singularities in Geometry and Topology 1998, Sapporo. Advanced Studies in Pure Mathematics, vol. 29, pp. 97–113. Mathematical Society of Japan, Amsterdam/Tokyo (2000)CrossRef

67.

Campillo, A., Olivares, J.: Polarity with respect to a foliation and Caylay-Bacharach theorems. Journal für die reine und angewandte Mathematik 534, 95–118 (2001)MATH

68.

Campillo, A., Olivares, J.: On sections with isolated singualarities of twisted bundles and applications to foliations by curves. Math. Res. Lett. 10(5–5), 651–658 (2003)MathSciNetCrossRef

69.

Campillo, A., Olivares, J.: On the polar linear system of a foliation by curves on the projective spaces. In: Muñoz-Porras, J.M., et al. (eds.) The Geometry of Riemann Surfaces and Abelian Varieties. Volume 397 of Contemporary Mathematics, pp. 7–14. American Mathematical Society (2006). Proceedings of the “III Iberoamerican Congress on Geometry”, in honor of Professor Sevín Recillas-Pishmish’s 60th birthday, Salamanca, Spain, 8–12 June 2004

70.

Campillo, A., Olivares, J.: Special subschemes of the scheme of singularities of a plane foliation. Comptes Rendus de l’Académie de Sciences – Série I – Mathématiques 344(9), 581–585 (2007)MathSciNetCrossRef

71.

Campillo, A., Encinas, S.: Constructing nodes for two variable polynomial interpolation. ACM SIGSAM Bull. 35(4), 17 (2001)

72.

Campillo, A., Encinas, S.: Some applications of two dimensional complete ideals. In: Commutative Algebra (Grenoble/Lyon, 2001). Volume 331 of Contemporary Mathematics, pp. 55–74. American Mathematical Society (2003)

73.

Campillo, A., Encinas, S.: Heisuke Hironaka. La Gaceta de la RSME 13(1), 179–190 (2010)

74.

Campillo, A., Greuel, G.M., Lossen, C.: Equisingular calculations of plane curve singularities. J. Symb. Comput. 42(1–2), 89–114 (2007)MathSciNetCrossRef

75.

Campillo, A., Greuel, G.M., Lossen, C.: Equisingular deformations of plane curves in arbitrary characteristic. Compositio Mathematica 143, 829–882 (2007)MathSciNetCrossRef

76.

Campillo, A., Fitzpatrick, P., Martínez-Moro, E., Pellikaan, R. (eds.): Special issue algebraic coding theory and applications. J. Symb. Comput. 45(7), 721–824 (2010). From the editors Preface: This issue of the Journal of Symbolic Computation is a follow-up to the “Soria Summer School on Computational Mathematics: Algebraic Coding Theory” supported by the group SINGACOM of the University of Valladolid, held at the Campus Duques de Soria of the University of Valladolid in Soria, 2–11 July 2008 and the Special Session “Computer Algebra and Coding Theory 2008”, hosted at ACA 2008 held at the RISC Institute of the Johannes Kepler University in Hagenberg, Austria, 27–30 July 2008

77.

Campillo, A., Cardona, G., Melle-Hernández, A., Veys, W., Zúñiga-Galindo, W.A. (eds.): Zeta Functions in Algebra and Geometry. Contemporary Mathematics. American Mathematical Society (2010). The volume contains the proceedings of the “Second International Workshop on Zeta Functions in Algebra and Geometry” held 3–7 May 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain

78.

Campillo, A., Kulhmann, F.V., Teissier, B. (eds.): Valuation Theory in Interaction. EMS Series of Congress Reports. EMS Publishing House, Zürich (2014)

79.

Campillo, A., Castellanos, J.: Curve Singularities. An Algebraic and Geometric Approach. Actualités Mathématiques, 126pp. Hermann, Paris (2005)

80.

Campillo, A., Castellanos, J.: Arf closure relative to a divisorial valuation and transversal curves. Am. J. Math. 116(2), 377–395 (1994)MathSciNetCrossRef

81.

Campillo, A., Castellanos, J.: Valuative Arf characteristic of singularities. Mich. Math. J. 49(3), 435–450 (2001)MathSciNetCrossRef

82.

Campillo, A., Castellanos, J.: On Puiseux exponents for higher dimensional singularities. In: Topics in Algebraic and Noncommutative Geometry. Volume 324 of Contemporary Mathematics, pp. 91–102. American Mathematical Society, Providence (2003)

83.

Campillo, A.: Hamburger-Noether expansions over rings. Trans. AMS 279(1), 277–388 (1983)MathSciNetCrossRef

84.

Campillo, A.: Arithmetical aspects of saturation of singularities. Pol. Acad. Publ. 20, 121–137 (1988)MathSciNetMATH

85.

Campillo, A.: Arf closure and saturation relative to divisorial valuations. Pubblicazioni Matematiche dell’Università di Pisa 742, 11–30 (1993)

86.

Campillo, A., Revilla, M.A.: Coin exchange algorithms and toric projective curves. Commun. Algebra 29(7), 2985–2989 (2001)MathSciNetCrossRef

87.

Campillo, A., Grabowski, J., Müller, G.: Derivation algebras of toric varieties. Compositio Mathematica 116(2), 119–132 (1999)MathSciNetCrossRef

88.

Campillo, A., Carnicer, M.: Proximity inequalities and bounds for the degree of curves invariant by foliations. Trans. AMS 349(6), 2211–2228 (1997)CrossRef

89.

Campillo, A., Hernández-Ruipérez, D. (eds.): El legado matemático de Juan Bautista Sancho Guimerá. Ediciones Universidad de Salamanca (2015)

90.

Campillo, A., et al.: Título de Grado en Matemáticas. Agencia Nacional de Evaluación y Acreditación (2004)

Titel: Antonio Campillo
verfasst von: Francisco Monserrat
Sebastià Xambó-Descamps
Verlag: Springer International Publishing
Buch: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
Print ISBN: 978-3-319-96826-1

Electronic ISBN: 978-3-319-96827-8

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-96827-8_1

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