[Familles de Poincaré et automorphismes des fibrés principaux sur une courbe]
Soit C une courbe projective lisse, et soit G un groupe algébrique réductif. On donne une condition nécessaire, en termes de groupes d'automorphismes des G-fibrés principaux sur C, pour l'existence des familles de Poincaré paramétrées par des ouverts de Zariski dans leurs schémas de modules grossiers. On donne des applications pour les espaces de modules des fibrés orthogonaux et symplectiques.
Let C be a smooth projective curve, and let G be a reductive algebraic group. We give a necessary condition, in terms of automorphism groups of principal G-bundles on C, for the existence of Poincaré families parameterized by Zariski-open parts of their coarse moduli schemes. Applications are given for the moduli spaces of orthogonal and symplectic bundles.
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@article{CRMATH_2009__347_21-22_1285_0,
author = {Biswas, Indranil and Hoffmann, Norbert},
title = {Poincar\'e families and automorphisms of principal bundles on a curve},
journal = {Comptes Rendus. Math\'ematique},
pages = {1285--1288},
publisher = {Elsevier},
volume = {347},
number = {21-22},
year = {2009},
doi = {10.1016/j.crma.2009.10.006},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2009.10.006/}
}
TY - JOUR AU - Biswas, Indranil AU - Hoffmann, Norbert TI - Poincaré families and automorphisms of principal bundles on a curve JO - Comptes Rendus. Mathématique PY - 2009 SP - 1285 EP - 1288 VL - 347 IS - 21-22 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.10.006/ DO - 10.1016/j.crma.2009.10.006 LA - en ID - CRMATH_2009__347_21-22_1285_0 ER -
%0 Journal Article %A Biswas, Indranil %A Hoffmann, Norbert %T Poincaré families and automorphisms of principal bundles on a curve %J Comptes Rendus. Mathématique %D 2009 %P 1285-1288 %V 347 %N 21-22 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.10.006/ %R 10.1016/j.crma.2009.10.006 %G en %F CRMATH_2009__347_21-22_1285_0
Biswas, Indranil; Hoffmann, Norbert. Poincaré families and automorphisms of principal bundles on a curve. Comptes Rendus. Mathématique, Tome 347 (2009) no. 21-22, pp. 1285-1288. doi : 10.1016/j.crma.2009.10.006. http://www.numdam.org/articles/10.1016/j.crma.2009.10.006/
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