Second order theta divisors on Pryms
Bulletin de la Société Mathématique de France, Volume 127 (1999) no. 1, p. 1-23
@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},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {127},
     number = {1},
     year = {1999},
     pages = {1-23},
     doi = {10.24033/bsmf.2339},
     zbl = {0955.14019},
     mrnumber = {2000e:14040},
     language = {en},
     url = {http://www.numdam.org/item/BSMF_1999__127_1_1_0}
}
Izadi, E. Second order theta divisors on Pryms. Bulletin de la Société Mathématique de France, Volume 127 (1999) no. 1, pp. 1-23. doi : 10.24033/bsmf.2339. http://www.numdam.org/item/BSMF_1999__127_1_1_0/

[ACGH] Arbarello (E.), Cornalba (M.), Griffiths (P.A.), Harris (J.). - Geometry of algebraic curves, vol. 1. - Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1985. | MR 86h:14019 | Zbl 0559.14017

[BD] Beauville (A.), Debarre (O.). - 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 91g:14021 | Zbl 0699.14056

[BDDG] Beauville (A.), Debarre (O.), Donagi (R.), Van Der Geer (G.). - 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 90b:14053 | Zbl 0699.14057

[De] Debarre (O.). - Sur le problème de Torelli pour les variétés de Prym, Amer. J. Math., t. 111, 1989, p. 111-134. | MR 90b:14035 | Zbl 0699.14052

[Do1] Donagi (R.). - Theory of Moduli. - Lecture Notes in Math., vol. 1337, Springer-Verlag, 1988, p. 84-137. | MR 90a:14041 | Zbl 0676.14008

[Do2] Donagi (R.). - 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 94e:14037 | Zbl 0783.14025

[DS] Donagi (R.), Smith (R.). - The structure of the Prym map, Acta Math., t. 146, 1981, p. 25-102. | MR 82k:14030b | Zbl 0538.14019

[F] Fay (J.D.). - On the even-order vanishing of Jacobian theta functions, Duke Math. J., t. 51, 1984, n° 1, p. 109-132. | MR 86h:14025 | Zbl 0583.14017

[FS] Friedman (R.), Smith (R.). - The generic Torelli theorem for the Prym map, Invent. Math., t. 67, 1982, n° 3, p. 473-490. | MR 83i:14017 | Zbl 0506.14042

[GG] Van Geemen (B.), Van Der Geer (G.). - Kummer varieties and the moduli spaces of abelian varieties, Amer. J. Math., t. 108, 1986, p. 615-642. | MR 87k:14050 | Zbl 0612.14044

[G] Green (M.L.). - Quadrics of rank four in the ideal of a canonical curve, Invent. Math., t. 75, 1984, n° 1, p. 85-104. | MR 85f:14028 | Zbl 0542.14018

[GH] Griffiths (P.A.), Harris (J.). - Principles of algebraic geometry. - Wiley, New York, 1978. | MR 80b:14001 | Zbl 0408.14001

[Ig] Igusa (J.I.). - Theta functions. - Springer Verlag, Berlin, New York, Heidelberg, 1972. | MR 48 #3972 | Zbl 0251.14016

[Iz1] Izadi (E.). - Fonctions thêta du second ordre sur la jacobienne d'une courbe lisse, Math. Ann., t. 289, 1991, n° 2, p. 189-202. | MR 92a:14024 | Zbl 0735.14029

[Iz2] Izadi (E.). - 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 96d:14042 | Zbl 0819.14017

[LS] Lange (H.), Sernesi (E.). - Quadrics containing a Prym-canonical curve, J. Alg. Geom., t. 5, 1996, n° 2, p. 387-399. | MR 96k:14021 | Zbl 0859.14009

[L] Lazarsfeld (R.). - Intersection des quadriques contenant une courbe lisse (rédigé par O. Debarre). - Preprint EUROPROJ.

[M1] Mumford (D.). - Theta characteristics of an algebraic curve, Ann. Sci. École Norm. Sup., t. 4, 1971, n° 4, p. 181-192. | Numdam | MR 45 #1918 | Zbl 0216.05904

[M2] Mumford (D.). - Prym varieties, I. - Contributions to Analysis (L.V. Ahlfors, I. Kra, B. Maskit, L. Niremberg, eds.), Academic Press, 1974, p. 325-350. | MR 52 #415 | Zbl 0299.14018

[SV] Smith (R.), Varley (R.). - Deformations of theta divisors and the rank 4 quadrics problem, Compositio Math., t. 76, 1990, n° 3, p. 367-398. | Numdam | MR 92a:14025 | Zbl 0745.14012

[W1] Welters (G.E.). - The surface C - C on jacobi varieties and second order theta functions, Acta Mathematica, t. 157, 1986, p. 1-22. | MR 87j:14048 | Zbl 0771.14012

[W2] Welters (G.E.). - Recovering the curve data from a general prym variety, Amer. J. Math., t. 109, 1987, n° 1, p. 165-182. | MR 88c:14041 | Zbl 0639.14026