@article{BSMF_1994__122_3_343_0, author = {Debarre, Olivier}, title = {Degrees of curves in abelian varieties}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {343--361}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {122}, number = {3}, year = {1994}, doi = {10.24033/bsmf.2236}, mrnumber = {95f:14085}, zbl = {0856.14015}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2236/} }
TY - JOUR AU - Debarre, Olivier TI - Degrees of curves in abelian varieties JO - Bulletin de la Société Mathématique de France PY - 1994 SP - 343 EP - 361 VL - 122 IS - 3 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2236/ DO - 10.24033/bsmf.2236 LA - en ID - BSMF_1994__122_3_343_0 ER -
%0 Journal Article %A Debarre, Olivier %T Degrees of curves in abelian varieties %J Bulletin de la Société Mathématique de France %D 1994 %P 343-361 %V 122 %N 3 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2236/ %R 10.24033/bsmf.2236 %G en %F BSMF_1994__122_3_343_0
Debarre, Olivier. Degrees of curves in abelian varieties. Bulletin de la Société Mathématique de France, Tome 122 (1994) no. 3, pp. 343-361. doi : 10.24033/bsmf.2236. http://www.numdam.org/articles/10.24033/bsmf.2236/
[A1] Subvarieties of Abelian Varieties and of Jacobians of Curves. — Ph. D. Thesis, Harvard University, 1991.
. —[A2] Addendum to Curves and Abelian Varieties on Wd(C), unpublished.
. —[AH] Curves and Abelian Varieties on Wd(C), Comp. Math., t. 78, 1991, p. 227-238. | Numdam | MR | Zbl
and . —[AP] On Abelian Subvarieties Generated by Symmetric Correspondences, Math. Z., t. 205, 1990, p. 333-342. | MR | Zbl
and . —[ACGH] Geometry Of Algebraic Curves, I, Grundlehren 267, Springer Verlag 1985. | MR | Zbl
, , and . —[B] On Singular Curves in the Case of Positive Characteristic, Math. Nachr., t. 141, 1989, p. 267-273. | MR | Zbl
. —[C] A New Proof of the Ran-Matsusaka Criterion for Jacobians, Proc. Amer. Math. Soc., t. 92, 1984, p. 329-331. | MR | Zbl
. —[D] Sur les variétés abéliennes dont le diviseur thêta est singulier en codimension 3, Duke Math. J., t. 56, 1988, p. 221-273. | MR | Zbl
. —[DF] Abelian Varieties in Wrd(C) and Points of Bounded Degrees On Algebraic Curves, Comp. Math., t. 88, 1993, p. 235-249. | Numdam | MR | Zbl
and . —[Ma] On a Characterization of a Jacobian Variety, Mem. Coll. Sc. Kyoto, Ser. A, t. 23, 1959, p. 1-19. | MR | Zbl
. —[Me] Familles de courbes hyperelliptiques à multiplications réelles, in Arithmetic Algebraic Geometry, Progress in Math. 89, Birkhäuser, 1991. | MR | Zbl
. —[Mi] Abelian Varieties, in Arithmetic Geometry, edited by G. Cornell and J. Silverman, Springer Verlag, 1986. | MR | Zbl
. —[M] The Endomorphism Ring of some Abelian Varieties, Japan J. Math., t. 1, 1976, p. 109-130. | MR | Zbl
. —[Mo] Cycles and Endomorphisms of Abelian Varieties, Nagoya Math. J., t. 7, 1954, p. 95-102. | MR | Zbl
. —[Mu] Abelian Varieties. — Oxford University Press, 1974.
. —[MK] Varieties Defined by Quadratic Equations, with an appendix by G. Kempf., in Questions On Algebraic Varieties, C.I.M.E., Varenna, 1970. | MR | Zbl
. —[R] On Subvarieties of Abelian Varieties, Invent. Math., t. 62, 1981, p. 459-479. | MR | Zbl
. —[S] Totally Positive Algebraic Integers of Small Trace, Ann. Inst. Fourier, t. 33, 1984, p. 1-28. | Numdam | MR | Zbl
. —[TTV] Explicit Hyperelliptic Curves with Real Multiplication and Permutation Polynomials, Canad. J. Math., t. 43, 1991, p. 1055-1064. | MR | Zbl
, and . —[vG] Hilbert Modular Surfaces, Ergebnisse der Math. und ihrer Grenz. 16, Springer Verlag, 1988. | MR | Zbl
. —[W] Curves with Twice the Minimal Class on Principally Polarized Abelian Varieties, Proc. Kon. Ned. Akad. van Wetenschappen, Indagationes Math., t. 49, 1987, p. 87-109. | MR | Zbl
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