@article{BSMF_1999__127_1_1_0,
author = {Izadi, E.},
title = {Second order theta divisors on {Pryms}},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {1--23},
year = {1999},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {127},
number = {1},
doi = {10.24033/bsmf.2339},
mrnumber = {2000e:14040},
zbl = {0955.14019},
language = {en},
url = {https://www.numdam.org/articles/10.24033/bsmf.2339/}
}
TY - JOUR AU - Izadi, E. TI - Second order theta divisors on Pryms JO - Bulletin de la Société Mathématique de France PY - 1999 SP - 1 EP - 23 VL - 127 IS - 1 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.2339/ DO - 10.24033/bsmf.2339 LA - en ID - BSMF_1999__127_1_1_0 ER -
Izadi, E. Second order theta divisors on Pryms. Bulletin de la Société Mathématique de France, Tome 127 (1999) no. 1, pp. 1-23. doi: 10.24033/bsmf.2339
[ACGH] , , , . - Geometry of algebraic curves, vol. 1. - Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1985. | Zbl | MR
[BD] , . - Sur les fonctions thêta du second ordre - Arithmetic of Complex Manifolds. - Lecture Notes in Math., vol. 1399, Springer-Verlag, Berlin-New York, 1989, p. 27-39. | Zbl | MR
[BDDG] , , , . - Sur les fonctions thêta d'ordre deux et les singularités du diviseur thêta, C.R. Acad. Sc. Paris, t. 307, 1988, p. 481-484. | Zbl | MR
[De] . - Sur le problème de Torelli pour les variétés de Prym, Amer. J. Math., t. 111, 1989, p. 111-134. | Zbl | MR
[Do1] . - Theory of Moduli. - Lecture Notes in Math., vol. 1337, Springer-Verlag, 1988, p. 84-137. | Zbl | MR
[Do2] . - The fibers of the Prym map - Curves, Jacobians and Abelian Varieties (Amherst, MA 1990). - Contemp. Math., vol. 136, Amer. Math. Soc., 1992, p. 55-125. | Zbl | MR
[DS] , . - The structure of the Prym map, Acta Math., t. 146, 1981, p. 25-102. | Zbl | MR
[F] . - On the even-order vanishing of Jacobian theta functions, Duke Math. J., t. 51, 1984, n° 1, p. 109-132. | Zbl | MR
[FS] , . - The generic Torelli theorem for the Prym map, Invent. Math., t. 67, 1982, n° 3, p. 473-490. | Zbl | MR
[GG] , . - Kummer varieties and the moduli spaces of abelian varieties, Amer. J. Math., t. 108, 1986, p. 615-642. | Zbl | MR
[G] . - Quadrics of rank four in the ideal of a canonical curve, Invent. Math., t. 75, 1984, n° 1, p. 85-104. | Zbl | MR
[GH] , . - Principles of algebraic geometry. - Wiley, New York, 1978. | Zbl | MR
[Ig] . - Theta functions. - Springer Verlag, Berlin, New York, Heidelberg, 1972. | Zbl | MR
[Iz1] . - Fonctions thêta du second ordre sur la jacobienne d'une courbe lisse, Math. Ann., t. 289, 1991, n° 2, p. 189-202. | Zbl | MR
[Iz2] . - The geometric structure of A4, the structure of the Prym map, double solids and г00-divisors, J. reine angew. Math., t. 462, 1995, p. 93-158. | Zbl | MR
[LS] , . - Quadrics containing a Prym-canonical curve, J. Alg. Geom., t. 5, 1996, n° 2, p. 387-399. | Zbl | MR
[L] . - Intersection des quadriques contenant une courbe lisse (rédigé par O. Debarre). - Preprint EUROPROJ.
[M1] . - Theta characteristics of an algebraic curve, Ann. Sci. École Norm. Sup., t. 4, 1971, n° 4, p. 181-192. | Zbl | MR | Numdam
[M2] . - Prym varieties, I. - Contributions to Analysis (L.V. Ahlfors, I. Kra, B. Maskit, L. Niremberg, eds.), Academic Press, 1974, p. 325-350. | Zbl | MR
[SV] , . - Deformations of theta divisors and the rank 4 quadrics problem, Compositio Math., t. 76, 1990, n° 3, p. 367-398. | Zbl | MR | Numdam
[W1] . - The surface C - C on jacobi varieties and second order theta functions, Acta Mathematica, t. 157, 1986, p. 1-22. | Zbl | MR
[W2] . - Recovering the curve data from a general prym variety, Amer. J. Math., t. 109, 1987, n° 1, p. 165-182. | Zbl | MR
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