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On the periods of Enriques surfaces. I

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References

  1. Artin,M.: On Enriques' surfaces. Ph. D. Thesis, Harvard University, 1960

  2. Artin, M.: On isolated rational singularities of surfaces. Amer. J. Math.88, 129–136 (1966)

    Google Scholar 

  3. Artin, M.: Algebraic construction of Brieskorn's resolutions. J. Algebra29, 330–348 (1974)

    Google Scholar 

  4. Bourbaki, N.: Groupes et algèbres de Lie, Chapters 4–6. Paris: Hermann 1968

    Google Scholar 

  5. Brieskorn, E.: Singular elements of semi-simple algebraic groups. Actes Congrès intern. Math., 1970 Nice, Tom 2, 279–284

    Google Scholar 

  6. Grothendieck, A.: Séminaire de géométrie algébrique. I. IHES 1961. Lecture Notes in Mathematics 224. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  7. Horikawa, E.: On deformations of quintic surfaces. Inventiones math.31, 43–85 (1975)

    Google Scholar 

  8. Horikawa, E.: On deformations of holomorphic maps. III. Math. Ann.222, 275–282 (1976)

    Google Scholar 

  9. Horikawa, E.: On algebraic surfaces with pencils of curves of genus. 2. In: Complex analysis and algebraic geometry: a volume dedicated to K. Kodaira, pp. 79–90, Tokyo, Cambridge: Iwanami Shoten, Publishers and Cambridge University Press 1977

    Google Scholar 

  10. Horikawa, E.: Surjectivity of the period map of K3 surfaces of degree 2. Math. Ann.228, 113–146 (1977)

    Google Scholar 

  11. Horikawa, E.: On the periods of Enriques surfaces, I. II. Proc. Japan Acad.53, 124–127 (1977), ibid.53A, 53–55 (1977)

    Google Scholar 

  12. Kodaira, K.: On compact analytic surfaces. II. Ann. of Math.77, 563–626 (1963)

    Google Scholar 

  13. Kodaira, K.: On stability of compact submanifolds of complex manifold. Amer. J. Math.85, 79–84 (1963)

    Google Scholar 

  14. Kodaira, K.: On the structure of compact complex analytic surfaces. I. Amer. J. Math.86, 751–798 (1964)

    Google Scholar 

  15. Nikulin, V.V.: On Kummer surface (in Russian). Izv. Acad. Nauk SSSR39, 278–293 (1975)

    Google Scholar 

  16. Piateckii-Shapiro, I.I.: Geometry of classical domains and automorphic functions (in Russian). Moscow: Fizmatgiz 1961

    Google Scholar 

  17. Piateckii-Shapiro, I.I., Shafarevich, I.R.: A Torelli theorem for algebraic surface of type K3 (in Russian). Izv. Akad. Nauk SSSR35, 530–572 (1971)

    Google Scholar 

  18. Serre,J.-P.: Course d'arithmetique. Presses Univ. de France 1970 (English transl. Berlin, Heidelberg, New York: Springer 1973)

  19. Shafarevich,I.R., et al.: Algebraic surfaces (in Russian). Proc. Steklov Inst.75 (1965) (English transl. Amer. Math. Soc. 1967)

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  1. Department of Mathematics, University of Tokyo, 113, Hongo, Tokyo, Japan

    Eiji Horikawa

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  1. Eiji Horikawa
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Horikawa, E. On the periods of Enriques surfaces. I. Math. Ann. 234, 73–88 (1978). https://doi.org/10.1007/BF01409342

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