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Une demonstration elementaire du theoreme de Torelli pour les intersections de trois quadriques generiques de dimension impaire

  • Olivier Debarre
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1399)

Keywords

Polarisation Principale Prym Variety Torelli Theorem Dimension Impaire Suite Exacte 
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Bibliographie

  1. [ACGH]
    E. ARBARELLO, M. CORNALBA, P.A. GRIFFITHS, J. HARRIS.-Geometry of Algebraic Curves, I. Springer Verlag (1985).Google Scholar
  2. [B]
    A. BEAUVILLE.-Variétés de Prym et jacobiennes intermédiaires. Ann. Sc. Ecole Norm. Sup. 10 (1977), 309–391.MathSciNetzbMATHGoogle Scholar
  3. [Be]
    A. BERTRAM.-An existence theorem for Prym special divisors. Invent. Math. 90 (1987), 669–671.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [D 1]
    O. DEBARRE.-Le théorème de Torelli pour les intersections de trois quadriques. Invent. Math. A paraître.Google Scholar
  5. [D 2]
    O. DEBARRE.-Sur le théorème de Torelli pour les variétés de Prym. Am. J. of Math. A paraître.Google Scholar
  6. [D 3]
    O. DEBARRE.-Sur les variétés de Prym des courbes tétragonales. Ann. Sc. Ecole Norm. Sup. 21 (1988), 545–559.MathSciNetzbMATHGoogle Scholar
  7. [Di]
    A. DIXON.-Notes on the reduction of a ternary quartic to a symmetrical determinant. Proc. Camb. Phil. Soc. 11 (1902), 350–351.zbMATHGoogle Scholar
  8. [Do]
    R. DONAGI.-The tetragonal construction. Bull. Amer. Math. Soc. 4 (1981), 181–185.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [FS 1]
    R. FRIEDMAN, R. SMITH.-Degenerations of Prym varieties and intersections of three quadrics. Invent. Math. 85 (1986), 615–635.MathSciNetCrossRefzbMATHGoogle Scholar
  10. [FS 2]
    R. FRIEDMAN, R. SMITH.-The generic Torelli theorem for the Prym map. Invent. Math. 67 (1982), 473–490.MathSciNetCrossRefzbMATHGoogle Scholar
  11. [K]
    V. KANEV.-The global Torelli theorem for Prym varieties at a generic point. Math. USSR Izvestija 20 (1983), 235–258.CrossRefzbMATHGoogle Scholar
  12. [L]
    Y. LASZLO.-Théorème de Torelli pour les intersections complètes de trois quadriques de dimension paire. A paraître.Google Scholar
  13. [M 1]
    D. MUMFORD.-Prym Varieties I. Contributions to Analysis. Acad. Press, New York (1974), 325–350.Google Scholar
  14. [M 2]
    D. MUMFORD.-Theta characteristics of an algebraic curve. Ann. Sc. Ecole Norm. Sup. 4 (1971), 181–192.MathSciNetzbMATHGoogle Scholar
  15. [T]
    A.N. TJURIN.-On the intersection of quadrics. Russian Math. Surveys 30 (1975).Google Scholar
  16. [W 1]
    G. WELTERS.-Recovering the curve data from a general Prym variety. Amer. J. of Math. 109 (1987), 165–182.MathSciNetCrossRefzbMATHGoogle Scholar
  17. [W 2]
    G. WELTERS.-The surface C-C on Jacobi varieties and 2nd order theta functions. Acta math. 157 (1986), 1–22.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Olivier Debarre
    • 1
  1. 1.Mathématique, Université Paris-SudOrsay CedexFrance

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