Sur les variétés de Prym des courbes tétragonales

Olivier Debarre

Annales scientifiques de l'École Normale Supérieure (1988)

  • Volume: 21, Issue: 4, page 545-559
  • ISSN: 0012-9593

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Debarre, Olivier. "Sur les variétés de Prym des courbes tétragonales." Annales scientifiques de l'École Normale Supérieure 21.4 (1988): 545-559. <http://eudml.org/doc/82236>.

@article{Debarre1988,
author = {Debarre, Olivier},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {covering of a tetragonal curve; theta divisor; Prym variety},
language = {fre},
number = {4},
pages = {545-559},
publisher = {Elsevier},
title = {Sur les variétés de Prym des courbes tétragonales},
url = {http://eudml.org/doc/82236},
volume = {21},
year = {1988},
}

TY - JOUR
AU - Debarre, Olivier
TI - Sur les variétés de Prym des courbes tétragonales
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1988
PB - Elsevier
VL - 21
IS - 4
SP - 545
EP - 559
LA - fre
KW - covering of a tetragonal curve; theta divisor; Prym variety
UR - http://eudml.org/doc/82236
ER -

References

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  1. [ACGH] A. ARBARELLO, M. CORNALBA, P. A. GRIFFITHS et J. HARRIS, Geometry of Algebraic Curves, I, Springer Verlag. Zbl0559.14017
  2. [B 1] A. BEAUVILLE, Prym Varieties and the Schottky Problem (Invent. Math., vol. 41, 1977, p. 149-196). Zbl0333.14013MR58 #27995
  3. [B 2] A. BEAUVILLE, Sous-variétés spéciales des variétés de Prym (Comp. Math., 45, 1982, p. 357-383). Zbl0504.14022MR83f:14025
  4. [Be] A. BERTRAM, An Existence Theorem for Prym Special Divisors (Inv. Math., vol. 90, 1987, p. 669-671). Zbl0646.14006MR88k:14016
  5. [D 1] O. DEBARRE, Sur le problème de Torelli pour les variétés de Prym [Am. J. of Math. (à paraître)]. Zbl0699.14052
  6. [D 2] O. DEBARRE, Sur les variétés abéliennes dont le diviseur thêta est singulier en codimension 3 (Duke Math. J., vol. 56, 1988, p. 221-273). Zbl0699.14058MR89f:14047
  7. [Do] R. DONAGI, The Tetragonal Construction (Bull. Amer. Math. Soc., vol. 4, 1981, p. 181-185). Zbl0491.14016MR82a:14009
  8. [F — S] R. FRIEDMAN et R. SMITH, The Generic Torelli Theorem for the Prym Map (Invent. Math., vol. 67, 1982, p. 473-490). Zbl0506.14042MR83i:14017
  9. [K] V. I. KANEV, The Global Torelli Theorem for Prym Varieties at a Generic Point (Math. U.S.S.R. Izvestija, 20, 1983, p. 235-258). Zbl0566.14014
  10. [Ke] C. KEEM, A Remark on the Variety of Special Linear Systems on an Algebraic Curve (Ph. D. Thesis, Brown University, 1983). 
  11. [M] D. MUMFORD, Prym Varieties I. Contributions to Analysis. Acad. Press, New York, 1974, p. 325-350. Zbl0299.14018MR52 #415
  12. [W 1] G. WELTERS, Recovering the Curve Data from a General Prym Variety (Amer. J. of Math., vol. 109, 1987, p. 165-182). Zbl0639.14026MR88c:14041
  13. [W 2] G. WELTERS, Abel-Jacobi Isogenies for Certain Types of Fano Threefolds, Mathematisch Centrum, Amsterdam. 1981. Zbl0474.14028MR84k:14035

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