Degrees of curves in abelian varieties

Olivier Debarre

Bulletin de la Société Mathématique de France (1994)

  • Volume: 122, Issue: 3, page 343-361
  • ISSN: 0037-9484

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Debarre, Olivier. "Degrees of curves in abelian varieties." Bulletin de la Société Mathématique de France 122.3 (1994): 343-361. <http://eudml.org/doc/87694>.

@article{Debarre1994,
author = {Debarre, Olivier},
journal = {Bulletin de la Société Mathématique de France},
keywords = {endomorphisms; polarized abelian variety; irreducible curve; Jacobian; geometric genus},
language = {eng},
number = {3},
pages = {343-361},
publisher = {Société mathématique de France},
title = {Degrees of curves in abelian varieties},
url = {http://eudml.org/doc/87694},
volume = {122},
year = {1994},
}

TY - JOUR
AU - Debarre, Olivier
TI - Degrees of curves in abelian varieties
JO - Bulletin de la Société Mathématique de France
PY - 1994
PB - Société mathématique de France
VL - 122
IS - 3
SP - 343
EP - 361
LA - eng
KW - endomorphisms; polarized abelian variety; irreducible curve; Jacobian; geometric genus
UR - http://eudml.org/doc/87694
ER -

References

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  7. [C] COLLINO (A.). &#x2014; A New Proof of the Ran-Matsusaka Criterion for Jacobians, Proc. Amer. Math. Soc., t. 92, 1984, p. 329-331. Zbl0584.14017MR86a:14026
  8. [D] DEBARRE (O.). &#x2014; Sur les variétés abéliennes dont le diviseur thêta est singulier en codimension 3, Duke Math. J., t. 56, 1988, p. 221-273. Zbl0699.14058MR89f:14047
  9. [DF] DEBARRE (O.) and FAHLAOUI (R.). &#x2014; Abelian Varieties in Wrd(C) and Points of Bounded Degrees On Algebraic Curves, Comp. Math., t. 88, 1993, p. 235-249. Zbl0808.14025MR94h:14028
  10. [Ma] MATSUSAKA (T.). &#x2014; On a Characterization of a Jacobian Variety, Mem. Coll. Sc. Kyoto, Ser. A, t. 23, 1959, p. 1-19. Zbl0094.34103MR21 #7213
  11. [Me] MESTRE (J.-F.). &#x2014; Familles de courbes hyperelliptiques à multiplications réelles, in Arithmetic Algebraic Geometry, Progress in Math. 89, Birkhäuser, 1991. Zbl0754.14020MR92e:14022
  12. [Mi] MILNE (J.). &#x2014; Abelian Varieties, in Arithmetic Geometry, edited by G. Cornell and J. Silverman, Springer Verlag, 1986. Zbl0604.14028MR861974
  13. [M] MORI (S.). &#x2014; The Endomorphism Ring of some Abelian Varieties, Japan J. Math., t. 1, 1976, p. 109-130. Zbl0339.14016MR56 #12013
  14. [Mo] MORIKAWA (H.). &#x2014; Cycles and Endomorphisms of Abelian Varieties, Nagoya Math. J., t. 7, 1954, p. 95-102. Zbl0057.13004MR16,743e
  15. [Mu] MUMFORD (D.). &#x2014; Abelian Varieties. &#x2014; Oxford University Press, 1974. 
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  18. [S] SMYTH (C.). &#x2014; Totally Positive Algebraic Integers of Small Trace, Ann. Inst. Fourier, t. 33, 1984, p. 1-28. Zbl0534.12002MR86f:11091
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