Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II

Arnaud Beauville

Bulletin de la Société Mathématique de France (1991)

  • Volume: 119, Issue: 3, page 259-291
  • ISSN: 0037-9484

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Beauville, Arnaud. "Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II." Bulletin de la Société Mathématique de France 119.3 (1991): 259-291. <http://eudml.org/doc/87625>.

@article{Beauville1991,
author = {Beauville, Arnaud},
journal = {Bulletin de la Société Mathématique de France},
keywords = {moduli space; determinant bundle; second-order theta function on the Jacobian; Kummer variety},
language = {fre},
number = {3},
pages = {259-291},
publisher = {Société mathématique de France},
title = {Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II},
url = {http://eudml.org/doc/87625},
volume = {119},
year = {1991},
}

TY - JOUR
AU - Beauville, Arnaud
TI - Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II
JO - Bulletin de la Société Mathématique de France
PY - 1991
PB - Société mathématique de France
VL - 119
IS - 3
SP - 259
EP - 291
LA - fre
KW - moduli space; determinant bundle; second-order theta function on the Jacobian; Kummer variety
UR - http://eudml.org/doc/87625
ER -

References

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  1. [B] BEAUVILLE (A.). — Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta, Bull. Soc. Math. France, t. 116, 1988, p. 431-448. Zbl0691.14016MR91b:14038
  2. [D-N] DREZET (J.-M.) et NARASIMHAN (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
  3. [D-R] DESALE (R.V.) et RAMANAN (S.). — Classification of vector bundles of rank 2 on hyperelliptic curves, Invent. Math., t. 38, 1976, p. 181-185. Zbl0323.14012MR55 #2906
  4. [K-M] KNUDSEN (F.) et MUMFORD (D.). — The projectivity of the moduli space of stable curves, I, Math. Scand., t. 39, 1976, p. 19-55. Zbl0343.14008MR55 #10465
  5. [L] LASZLO (Y.). — Dimension de l'espace des sections du diviseur thêta généralisé, Bull. Soc. Math. France, t. 119, 1991, p. 293-306. Zbl0748.14011MR92i:14009
  6. [M1] MUMFORD (D.). — On the equations defining Abelian varieties, Invent. Math., t. 1, 1966, p. 287-354. Zbl0219.14024MR34 #4269
  7. [M2] MUMFORD (D.). — Theta characteristics of an algebraic curve, Ann. Sci. École Norm. Sup., t. 4, 1971, p. 181-192. Zbl0216.05904MR45 #1918
  8. [N-R] NARASIMHAN (M.S.) et RAMANAN (S.). — Moduli of vector bundles on a compact Riemann surface, Ann. of Math., t. 89, 1969, p. 19-51. Zbl0186.54902MR39 #3518
  9. [T] THADDEUS (M.). — Conformal field theory and the cohomology of the moduli space of stable bundles, — Preprint, 1990. 
  10. [V] VERLINDE (E.). — Fusion rules and modular transformations in 2D-conformal field theory, Nuclear Phys., t. B300, 1988, p. 360. Zbl1180.81120MR89h:81238
  11. [W] WITTEN (E.). — Quantum field theory and the Jones polynomial, Comm. Math. Phys., t. 121, 1989, p. 351-399. Zbl0667.57005MR90h:57009

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