La dimension de l'espace des sections du diviseur thêta généralisé

Yves Laszlo

Bulletin de la Société Mathématique de France (1991)

  • Volume: 119, Issue: 3, page 293-306
  • ISSN: 0037-9484

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Laszlo, Yves. "La dimension de l'espace des sections du diviseur thêta généralisé." Bulletin de la Société Mathématique de France 119.3 (1991): 293-306. <http://eudml.org/doc/87626>.

@article{Laszlo1991,
author = {Laszlo, Yves},
journal = {Bulletin de la Société Mathématique de France},
keywords = {coarse moduli space of rank-2 stable vector bundles; generalized theta divisor; generalized theta functions; odd theta characteristics},
language = {fre},
number = {3},
pages = {293-306},
publisher = {Société mathématique de France},
title = {La dimension de l'espace des sections du diviseur thêta généralisé},
url = {http://eudml.org/doc/87626},
volume = {119},
year = {1991},
}

TY - JOUR
AU - Laszlo, Yves
TI - La dimension de l'espace des sections du diviseur thêta généralisé
JO - Bulletin de la Société Mathématique de France
PY - 1991
PB - Société mathématique de France
VL - 119
IS - 3
SP - 293
EP - 306
LA - fre
KW - coarse moduli space of rank-2 stable vector bundles; generalized theta divisor; generalized theta functions; odd theta characteristics
UR - http://eudml.org/doc/87626
ER -

References

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  1. [B] BOURBAKI (N.). — Groupe et algèbre de Lie, Chapitre 7. — Hermann, Paris, 1985. 
  2. [Be] BEAUVILLE (A.). — Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta II, Bull. Soc. Math. France, t. 119, 1991, p. 259-291. Zbl0756.14017MR92m:14041
  3. [B-N-R] BEAUVILLE (A.), NARASIMHAN (M.S.), et RAMANAN (S.). — Spectral curves and the generalised theta divisor, J. Reine Angew. Math, t. 398, 1989, p. 169-179. Zbl0666.14015MR91c:14040
  4. [D-N] DREZET (J.M.) et NARSIMHAN (M.S.). — Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques, Invent. Math., t. 97, 1989, p. 53-94. Zbl0689.14012MR90d:14008
  5. [D-R] DESALE (U.V.) et RAMANAN (S.). — Classification of vector bundles of rank 2 on hyperelliptic curves, Invent. Math., t. 38, 1976, p. 161-185. Zbl0323.14012MR55 #2906
  6. [Ha] HARTSORNE (R.). — Principles of algebraic geometry, Graduate Text in Math. 51. — Springer Verlag, Berlin Heidelberg New-York, 1977. 
  7. [H] HUMPHREYS (J.E.). — Linear Algebraic groups, Graduate Text in Math. 21. — Springer Verlag, Berlin Heidelberg New-York, 1971. Zbl0325.20039MR53 #633
  8. [MD] MACDONALD (I.G.). — Symmetric functions and Hall polynomials. — Oxford Mathematical Monographs, Clarendon Press, 1979. Zbl0487.20007MR84g:05003
  9. [M] MUMFORD (D.). — Tata lectures on theta II, Prog. in Math. 43. — Birkhäuser, Boston Basel Stuttgart, 1984. Zbl0549.14014MR86b:14017

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