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Poincaré series of a rational surface singularity

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References

  1. Campillo, A., Delgado, F., Gusein-Zade, S.M.: The extended semigroup of a plane curve singularity. Proc. Steklov Inst. Math. 221, 139–156 (1998)

    Google Scholar 

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

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  5. Campillo, A., Delgado, F., Gusein-Zade, S.M.: Integrals with respect to the Euler characteristic over the space of functions and the Alexander polynomial. Proc. Steklov Inst. Math. 238, 134–147 (2002)

    Google Scholar 

  6. Campillo, A., Delgado, F., Kiyek, K.: Gorenstein property and symmetry for one-dimensional local Cohen–Macaulay rings. Manuscr. Math. 83, 405–423 (1994)

    Article  MathSciNet  Google Scholar 

  7. Denef, J., Loeser, F.: Germs of arcs on singular algebraic varieties and motivic integration. Invent. math. 135, 201–232 (1999)

    Article  MathSciNet  Google Scholar 

  8. Pinkham, H.: Singularités rationelles de surfaces. In: Séminaire sur les singularités des surfaces. Lect. Notes Math. 777, pp. 147–178. Berlin, Heidelberg, New York: Springer 1980

  9. Viro, O.Y.: Some integral calculus based on Euler characteristic. Topology and Geometry – Rohlin seminar. Lect. Notes Math. 1346, pp. 127–138. Berlin, Heidelberg, New York: Springer 1988

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Authors and Affiliations

  1. Dept. of Algebra, Geometry and Topology, University of Valladolid, 47005, Valladolid, Spain

    A. Campillo & F. Delgado

  2. Faculty of Mathematics and Mechanics, Moscow State University, 119992, Moscow, Russia

    S.M. Gusein-Zade

Authors
  1. A. Campillo
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  2. F. Delgado
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  3. S.M. Gusein-Zade
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Corresponding authors

Correspondence to A. Campillo, F. Delgado or S.M. Gusein-Zade.

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Mathematics Subject Classification (2000)

14J17, 32S25

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Campillo, A., Delgado, F. & Gusein-Zade, S. Poincaré series of a rational surface singularity. Invent. math. 155, 41–53 (2004). https://doi.org/10.1007/s00222-003-0310-y

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  • DOI: https://doi.org/10.1007/s00222-003-0310-y

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