@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}, publisher = {Elsevier}, volume = {Ser. 4, 30}, number = {4}, year = {1997}, doi = {10.1016/s0012-9593(97)89929-6}, mrnumber = {98f:14007}, zbl = {0918.14004}, language = {en}, url = {http://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 - http://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 http://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. http://www.numdam.org/articles/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). | MR | Zbl
,[2] Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta, II, (Bull. Soc. math. France, Vol. 119, 1991, pp. 259-291). | Numdam | MR | Zbl
,[3] Conformal blocks and generalized theta functions, (Comm. Math. Physics, Vol. 164, 1994, pp. 385-419). | MR | Zbl
and ,[4] A result on algebraic descent, (Comptes Rendus Acad. Sci. Paris, Vol. 320, Série I, 1995, pp. 335-340). | MR | Zbl
and ,[5] Homogeneous vector bundles, (Ann. of Math., Series 2, Vol. 66, 1957, pp. 203-248). | MR | Zbl
,[6] Semisimple subalgebras of semisimple Lie algebras, (AMS Transl. Ser. II, Vol. 6, 1957, pp. 111-244). | Zbl
,[7] Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques, (Inv. math., Vol. 97, 1989, pp. 53-94). | MR | Zbl
and ,[8] B-structures on G-bundles and local triviality, (Math.-Res.-Lett., Vol. 2, 1995, pp. 823-829). | MR | Zbl
and ,[9] Stable G-bundles and projective connections, (J. Alg. Geometry, Vol. 2, 1993, pp. 507-568). | MR | Zbl
,[10] A proof of the Verlinde formula, (J. Alg. Geometry, Vol. 3, 1994, pp. 347-374). | MR | Zbl
,[11] On Picard groups of algebraic fiber spaces, (J. pure and appl. algebra, Vol. 3, 1973, pp. 269-280). | MR | Zbl
and ,[12] Infinite dimensional Lie algebras (Third edition), Cambride, (Cambridge University Press, 1990). | MR | Zbl
,[13] Deformations of Semi-Euler Characteristics, (Amer. J. of Math., Vol. 114, 1992, pp. 973-978). | MR | Zbl
,[14] The projectivity of the moduli space of stable curves I : preliminaries on “det” and “div”, (Math. Scand., Vol. 39, 1976, pp. 19-55). | EuDML | MR | Zbl
and ,[15] Demazure character formula in arbitrary Kac-Moody setting, (Inv. math., Vol. 89, 1987, pp. 395-423). | EuDML | MR | Zbl
,[16] Infinite Grassmannians and Moduli Spaces of G-bundles, (Math. Annalen, Vol. 300, 1994, pp. 395-423). | EuDML | MR | Zbl
, and ,[17] Picard group of the moduli spaces of G-bundles (e-print alg-geom/9511012). | Zbl
and ,[18] Champs algébriques, (Preprint Université Paris 11 (Orsay), 1992).
and ,[19] The Langlands lemma and the Betti numbers of stacks of G-bundles on a curve, (Internat. J. Math., Vol. 7, 1996, pp. 29-45). | MR | Zbl
and ,[20] Formules de caractères pour les algèbres de Kac-Moody générales, (Astérisque, Vol. 159-160, 1988). | Numdam | MR | Zbl
,[21] Moduli of vector bundles on curves with parabolic structures, (Math. Annales, Vol. 248, 1980, pp. 205-239). | EuDML | MR | Zbl
and ,[22] Theta characteristics on an algebraic curve, (Ann. Sci. École Norm. Sup., Vol. 4, 1971, pp. 181-192). | EuDML | Numdam | MR | Zbl
,[23] Espaces de modules paraboliques et blocks conformes, (Duke Math. J., Vol. 84, 1996, pp. 217-235). | MR | Zbl
,[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). | MR | Zbl
,[27] Thêta-caractéristiques des courbes tracées sur une surface lisse, (J. reine angew. Math., Vol. 435, 1993, pp. 83-118). | EuDML | MR | Zbl
,[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). | EuDML | Numdam | Zbl
,[29] La formule de Verlinde, (Séminaire Bourbaki, No 794, 1994). | EuDML | Numdam | Zbl
,[30] Générateurs, relations et revêtements de groupes algébriques, (Colloque sur la théorie des groupes algébriques, Bruxelles, Gauthier-Villars, Paris, 1962, pp. 113-127). | MR | Zbl
,[31] Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries, (Adv. Studies in Pure Math., Vol. 19, 1989, pp. 459-566). | MR | Zbl
, and ,Cité par Sources :