@article{ASENS_1997_4_30_4_499_0,
author = {Laszlo, Yves and Sorger, Christoph},
title = {The line bundles on the moduli of parabolic $G$-bundles over curves and their sections},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {499--525},
year = {1997},
publisher = {Elsevier},
volume = {Ser. 4, 30},
number = {4},
doi = {10.1016/s0012-9593(97)89929-6},
mrnumber = {98f:14007},
zbl = {0918.14004},
language = {en},
url = {https://www.numdam.org/articles/10.1016/s0012-9593(97)89929-6/}
}
TY - JOUR AU - Laszlo, Yves AU - Sorger, Christoph TI - The line bundles on the moduli of parabolic $G$-bundles over curves and their sections JO - Annales scientifiques de l'École Normale Supérieure PY - 1997 SP - 499 EP - 525 VL - 30 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/s0012-9593(97)89929-6/ DO - 10.1016/s0012-9593(97)89929-6 LA - en ID - ASENS_1997_4_30_4_499_0 ER -
%0 Journal Article %A Laszlo, Yves %A Sorger, Christoph %T The line bundles on the moduli of parabolic $G$-bundles over curves and their sections %J Annales scientifiques de l'École Normale Supérieure %D 1997 %P 499-525 %V 30 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.1016/s0012-9593(97)89929-6/ %R 10.1016/s0012-9593(97)89929-6 %G en %F ASENS_1997_4_30_4_499_0
Laszlo, Yves; Sorger, Christoph. The line bundles on the moduli of parabolic $G$-bundles over curves and their sections. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 30 (1997) no. 4, pp. 499-525. doi: 10.1016/s0012-9593(97)89929-6
[1] , Conformal blocks, fusion rules and the Verlinde formula, Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry, (Israel Math. Conf. Proc., Vol. 9, 1996). | Zbl | MR
[2] , Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta, II, (Bull. Soc. math. France, Vol. 119, 1991, pp. 259-291). | Zbl | MR | Numdam
[3] and , Conformal blocks and generalized theta functions, (Comm. Math. Physics, Vol. 164, 1994, pp. 385-419). | Zbl | MR
[4] and , A result on algebraic descent, (Comptes Rendus Acad. Sci. Paris, Vol. 320, Série I, 1995, pp. 335-340). | Zbl | MR
[5] , Homogeneous vector bundles, (Ann. of Math., Series 2, Vol. 66, 1957, pp. 203-248). | Zbl | MR
[6] , Semisimple subalgebras of semisimple Lie algebras, (AMS Transl. Ser. II, Vol. 6, 1957, pp. 111-244). | Zbl
[7] and , Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques, (Inv. math., Vol. 97, 1989, pp. 53-94). | Zbl | MR
[8] and , B-structures on G-bundles and local triviality, (Math.-Res.-Lett., Vol. 2, 1995, pp. 823-829). | Zbl | MR
[9] , Stable G-bundles and projective connections, (J. Alg. Geometry, Vol. 2, 1993, pp. 507-568). | Zbl | MR
[10] , A proof of the Verlinde formula, (J. Alg. Geometry, Vol. 3, 1994, pp. 347-374). | Zbl | MR
[11] and , On Picard groups of algebraic fiber spaces, (J. pure and appl. algebra, Vol. 3, 1973, pp. 269-280). | Zbl | MR
[12] , Infinite dimensional Lie algebras (Third edition), Cambride, (Cambridge University Press, 1990). | Zbl | MR
[13] , Deformations of Semi-Euler Characteristics, (Amer. J. of Math., Vol. 114, 1992, pp. 973-978). | Zbl | MR
[14] and , The projectivity of the moduli space of stable curves I : preliminaries on “det” and “div”, (Math. Scand., Vol. 39, 1976, pp. 19-55). | Zbl | MR | EuDML
[15] , Demazure character formula in arbitrary Kac-Moody setting, (Inv. math., Vol. 89, 1987, pp. 395-423). | Zbl | MR | EuDML
[16] , and , Infinite Grassmannians and Moduli Spaces of G-bundles, (Math. Annalen, Vol. 300, 1994, pp. 395-423). | Zbl | MR | EuDML
[17] and , Picard group of the moduli spaces of G-bundles (e-print alg-geom/9511012). | Zbl
[18] and , Champs algébriques, (Preprint Université Paris 11 (Orsay), 1992).
[19] and , The Langlands lemma and the Betti numbers of stacks of G-bundles on a curve, (Internat. J. Math., Vol. 7, 1996, pp. 29-45). | Zbl | MR
[20] , Formules de caractères pour les algèbres de Kac-Moody générales, (Astérisque, Vol. 159-160, 1988). | Zbl | MR | Numdam
[21] and , Moduli of vector bundles on curves with parabolic structures, (Math. Annales, Vol. 248, 1980, pp. 205-239). | Zbl | MR | EuDML
[22] , Theta characteristics on an algebraic curve, (Ann. Sci. École Norm. Sup., Vol. 4, 1971, pp. 181-192). | Numdam | Zbl | MR | EuDML
[23] , Espaces de modules paraboliques et blocks conformes, (Duke Math. J., Vol. 84, 1996, pp. 217-235). | Zbl | MR
[24] , Stable Principal G-bundles, PhD. Thesis, (Bombay University, 1976).
[25] , On some infinite-dimensional groups, (II Math. USSR-Izv., Vol. 18, 1982, pp. 185-194). | Zbl
[26] , On the geometry of Schubert varieties attached to Kac-Moody Lie algebras, (Can. Math. Soc. Conf Proc., Vol. 6, 1984, pp. 405-442). | Zbl | MR
[27] , Thêta-caractéristiques des courbes tracées sur une surface lisse, (J. reine angew. Math., Vol. 435, 1993, pp. 83-118). | Zbl | MR | EuDML
[28] , La semi-caractéristique d'Euler-Poincaré des faisceaux ⍵-quadratiques sur un schéma de Cohen-Macaulay, (Bull. Soc. Math. France, Vol. 122, 1994, pp. 225-233). | Numdam | Zbl | EuDML
[29] , La formule de Verlinde, (Séminaire Bourbaki, No 794, 1994). | Numdam | Zbl | EuDML
[30] , Générateurs, relations et revêtements de groupes algébriques, (Colloque sur la théorie des groupes algébriques, Bruxelles, Gauthier-Villars, Paris, 1962, pp. 113-127). | Zbl | MR
[31] , and , Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries, (Adv. Studies in Pure Math., Vol. 19, 1989, pp. 459-566). | Zbl | MR
Cité par Sources :






