Mathematische Annalen

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

On the periods of Enriques surfaces. I

  • Eiji Horikawa


Enriques Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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