Mathematische Annalen

, Volume 234, Issue 1, pp 73–88 | Cite as

On the periods of Enriques surfaces. I

  • Eiji Horikawa
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Artin,M.: On Enriques' surfaces. Ph. D. Thesis, Harvard University, 1960Google Scholar
  2. 2.
    Artin, M.: On isolated rational singularities of surfaces. Amer. J. Math.88, 129–136 (1966)Google Scholar
  3. 3.
    Artin, M.: Algebraic construction of Brieskorn's resolutions. J. Algebra29, 330–348 (1974)Google Scholar
  4. 4.
    Bourbaki, N.: Groupes et algèbres de Lie, Chapters 4–6. Paris: Hermann 1968Google Scholar
  5. 5.
    Brieskorn, E.: Singular elements of semi-simple algebraic groups. Actes Congrès intern. Math., 1970 Nice, Tom 2, 279–284Google Scholar
  6. 6.
    Grothendieck, A.: Séminaire de géométrie algébrique. I. IHES 1961. Lecture Notes in Mathematics 224. Berlin, Heidelberg, New York: Springer 1971Google Scholar
  7. 7.
    Horikawa, E.: On deformations of quintic surfaces. Inventiones math.31, 43–85 (1975)Google Scholar
  8. 8.
    Horikawa, E.: On deformations of holomorphic maps. III. Math. Ann.222, 275–282 (1976)Google Scholar
  9. 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 1977Google Scholar
  10. 10.
    Horikawa, E.: Surjectivity of the period map of K3 surfaces of degree 2. Math. Ann.228, 113–146 (1977)Google Scholar
  11. 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. 12.
    Kodaira, K.: On compact analytic surfaces. II. Ann. of Math.77, 563–626 (1963)Google Scholar
  13. 13.
    Kodaira, K.: On stability of compact submanifolds of complex manifold. Amer. J. Math.85, 79–84 (1963)Google Scholar
  14. 14.
    Kodaira, K.: On the structure of compact complex analytic surfaces. I. Amer. J. Math.86, 751–798 (1964)Google Scholar
  15. 15.
    Nikulin, V.V.: On Kummer surface (in Russian). Izv. Acad. Nauk SSSR39, 278–293 (1975)Google Scholar
  16. 16.
    Piateckii-Shapiro, I.I.: Geometry of classical domains and automorphic functions (in Russian). Moscow: Fizmatgiz 1961Google Scholar
  17. 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. 18.
    Serre,J.-P.: Course d'arithmetique. Presses Univ. de France 1970 (English transl. Berlin, Heidelberg, New York: Springer 1973)Google Scholar
  19. 19.
    Shafarevich,I.R., et al.: Algebraic surfaces (in Russian). Proc. Steklov Inst.75 (1965) (English transl. Amer. Math. Soc. 1967)Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Eiji Horikawa
    • 1
  1. 1.Department of MathematicsUniversity of TokyoHongo, TokyoJapan

Personalised recommendations