@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}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {127}, number = {1}, year = {1999}, doi = {10.24033/bsmf.2339}, mrnumber = {2000e:14040}, zbl = {0955.14019}, language = {en}, url = {http://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 - http://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. http://www.numdam.org/articles/10.24033/bsmf.2339/
[ACGH] Geometry of algebraic curves, vol. 1. - Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1985. | MR | Zbl
, , , . -[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. | MR | Zbl
, . -[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. | MR | Zbl
, , , . -[De] Sur le problème de Torelli pour les variétés de Prym, Amer. J. Math., t. 111, 1989, p. 111-134. | MR | Zbl
. -[Do1] Theory of Moduli. - Lecture Notes in Math., vol. 1337, Springer-Verlag, 1988, p. 84-137. | MR | Zbl
. -[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. | MR | Zbl
. -[DS] The structure of the Prym map, Acta Math., t. 146, 1981, p. 25-102. | MR | Zbl
, . -[F] On the even-order vanishing of Jacobian theta functions, Duke Math. J., t. 51, 1984, n° 1, p. 109-132. | MR | Zbl
. -[FS] The generic Torelli theorem for the Prym map, Invent. Math., t. 67, 1982, n° 3, p. 473-490. | MR | Zbl
, . -[GG] Kummer varieties and the moduli spaces of abelian varieties, Amer. J. Math., t. 108, 1986, p. 615-642. | MR | Zbl
, . -[G] Quadrics of rank four in the ideal of a canonical curve, Invent. Math., t. 75, 1984, n° 1, p. 85-104. | MR | Zbl
. -[GH] Principles of algebraic geometry. - Wiley, New York, 1978. | MR | Zbl
, . -[Ig] Theta functions. - Springer Verlag, Berlin, New York, Heidelberg, 1972. | MR | Zbl
. -[Iz1] Fonctions thêta du second ordre sur la jacobienne d'une courbe lisse, Math. Ann., t. 289, 1991, n° 2, p. 189-202. | MR | Zbl
. -[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. | MR | Zbl
. -[LS] Quadrics containing a Prym-canonical curve, J. Alg. Geom., t. 5, 1996, n° 2, p. 387-399. | MR | Zbl
, . -[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. | Numdam | MR | Zbl
. -[M2] Prym varieties, I. - Contributions to Analysis (L.V. Ahlfors, I. Kra, B. Maskit, L. Niremberg, eds.), Academic Press, 1974, p. 325-350. | MR | Zbl
. -[SV] Deformations of theta divisors and the rank 4 quadrics problem, Compositio Math., t. 76, 1990, n° 3, p. 367-398. | Numdam | MR | Zbl
, . -[W1] The surface C - C on jacobi varieties and second order theta functions, Acta Mathematica, t. 157, 1986, p. 1-22. | MR | Zbl
. -[W2] Recovering the curve data from a general prym variety, Amer. J. Math., t. 109, 1987, n° 1, p. 165-182. | MR | Zbl
. -Cité par Sources :