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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.