Mathematische Annalen

, Volume 300, Issue 1, pp 393–404 | Cite as

Non-Archimedean analytic curves in Abelian varieties

  • William Cherry
Article

Mathematics Subject Classification (1991)

14G20 14K15 32P05 32H25 32H20 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [Am]
    Y. Amice, Les nombresp-adiques. Presses Universitaires de France, 1975Google Scholar
  2. [Ber]
    V. Berkovich, Spectral Theory and Analytic Geometry over Non-Archimedean Fields. AMS Surveys and Monographs33, 1990Google Scholar
  3. [Ber2]
    V. Berkovich, Étale Cohomology for Non-Archimedean Analytic Spaces. Draft 1993Google Scholar
  4. [BGR]
    S. Bosch, U. Güntzer, R. Remmert, Non-Archimedean Analysis. Springer-Verlag, 1984Google Scholar
  5. [BL1]
    S. Bosch, W. Lütkebohmert, Stable Reduction and Uniformization of Abelian Varieties I. Math. Ann.270 (1985), 349–379Google Scholar
  6. [BL2]
    S. Bosch, W. Lütkebohmert, Stable Reduction and Uniformization of Abelian Varieties II. Invent. Math.78 (1984), 257–297Google Scholar
  7. [Bos]
    S. Bosch, Rigid Analytische Gruppen mit Guter Reduction. Math. Ann.223 (1976), 193–205Google Scholar
  8. [Ch]
    W. Cherry, Hyperbolicp-Adic Analytic Spaces. Ph.D. Thesis, Yale University, 1993Google Scholar
  9. [F-P]
    J. Fresnel, M. van der Put, Géométrie Analytique Rigide et Applications. Birkhäuser, 1981Google Scholar
  10. [G-G]
    M. Green, P. Griffiths, Two Applications of Algebraic Geometry to Entire Holomorphic Mappings. The Chern Symposium 1979, Proc. International Sympos., Berkeley, CA, 1979, Springer-Verlag, 1980, pp. 41–74Google Scholar
  11. [G-P]
    L. Gerritzen, M. van der Put, Schottky Groups and Mumford Curves. Lect. Notes Math.817, Springer-Verlag, 1980Google Scholar
  12. [Har]
    R. Hartshorne, Algebraic Geometry. Springer-Verlag, 1977Google Scholar
  13. [Ka]
    Y. Kawamata, On Bloch's Conjecture. Invent. Math.57 (1980), 97–100Google Scholar
  14. [L1]
    S. Lang, Introduction to Complex Hyperbolic Spaces. Springer-Verlag, 1987Google Scholar
  15. [L2]
    S. Lang, Number Theory III. Encycl. Math. Sci.60, Springer-Verlag, 1991Google Scholar
  16. [N-O]
    J. Noguchi, T. Ochiai, Geometric Function Theory in Several Complex Variables. Transl. Math. Monogr.80, Am. Math. Soc., 1990Google Scholar
  17. [O]
    T. Ochiai, On Holomorphic Curves in Algebraic Varieties with Ample Irregularity. Invent. Math.43 (1977), 83–96Google Scholar
  18. [Sch]
    P. Schneider, Points of Rigid Analytic Varieties. J. Reine Angew. Math.434 (1993), 127–157Google Scholar
  19. [Ta]
    J. Tate, Rigid Analytic Spaces. Invent. Math.12 (1971), 257–289Google Scholar

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • William Cherry
    • 1
  1. 1.Department of MathematicsThe University of MichiganAnn ArborUSA

Personalised recommendations