Sur le problème de Schottky pour les variétés de Prym

A. Beauville; O. Debarre

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1987)

  • Volume: 14, Issue: 4, page 613-623
  • ISSN: 0391-173X

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Beauville, A., and Debarre, O.. "Sur le problème de Schottky pour les variétés de Prym." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 14.4 (1987): 613-623. <http://eudml.org/doc/84020>.

@article{Beauville1987,
author = {Beauville, A., Debarre, O.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Schottky problem; moduli space of principally polarized abelian varieties; Prym varieties; Kummer variety},
language = {fre},
number = {4},
pages = {613-623},
publisher = {Scuola normale superiore},
title = {Sur le problème de Schottky pour les variétés de Prym},
url = {http://eudml.org/doc/84020},
volume = {14},
year = {1987},
}

TY - JOUR
AU - Beauville, A.
AU - Debarre, O.
TI - Sur le problème de Schottky pour les variétés de Prym
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1987
PB - Scuola normale superiore
VL - 14
IS - 4
SP - 613
EP - 623
LA - fre
KW - Schottky problem; moduli space of principally polarized abelian varieties; Prym varieties; Kummer variety
UR - http://eudml.org/doc/84020
ER -

References

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  2. [A-D] E. Arbarello, C. De Concini. - Another proof of a conjecture of S.P. Novikov on periods of Abelian integrals on Riemann surfaces. Duke Math. J.54 (1987), pp. 163-178. Zbl0629.14022MR885782
  3. [A-M] A. Andreotti, A. Mayer. - On period relations for abelian integrals on algebraic curves. Ann. Scuola Norm. Sup. Pisa Cl. Sci. III21 (1967), pp. 189-238. Zbl0222.14024MR220740
  4. [B1] A. Beauville. - Prym varieties and the Schottky problem. Invent. Math.41 (1977), pp. 149-196. Zbl0333.14013MR572974
  5. [B2] A. Beauville. - Sous-variétés spéciales des variétés de Prym. Compositio Math.45 (1982), pp. 357-383. Zbl0504.14022MR656611
  6. [B3] A. Beauville. - Le problème de Schottky et la conjecture de Novikov. Exposé 675 au séminaire Bourbaki. Astérisque152-153 (1988), pp. 101-112. Zbl0637.14021MR936851
  7. [B-D] A. Beauville, O. Debarre. - Une relation entre deux approches du problème de Schottky. Invent. Math.86 (1986), pp. 195-207. Zbl0659.14021MR853450
  8. [D1] O. Debarre. - Sur les variétés abéliennes dont le diviseur thêta est singulier en codimension 3. Duke Math. J.56 (1988). Zbl0699.14058MR952234
  9. [D2] O. Debarre. - Variétés de Prym et ensembles d'Andreotti-Mayer. A paraître. 
  10. [G] A. Grothendieck. - Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA 2). Masson et North-Holland, Paris, Amsterdam (1968). Zbl0197.47202MR476737
  11. [M] D. Mumford. - Prym varieties I. Contributions to analysis, pp. 325-250. Academic Press, New-York (1974). Zbl0299.14018MR379510
  12. [W] G. Welters. - Recovering the curve data from a general Prym variety. Amer. J. of Math.109 (1987), pp. 165-182. Zbl0639.14026MR878204
  13. [Z] O. Zariski. - On a theorem of Severi. Amer. J. of Math.50 (1928), pp. 87-92. Zbl54.0698.01MR1507910JFM54.0698.01

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