Fibrés paraboliques stables et connexions singulières plates
Bulletin de la Société Mathématique de France (1991)
- Volume: 119, Issue: 2, page 231-257
- ISSN: 0037-9484
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topBiquard, Olivier. "Fibrés paraboliques stables et connexions singulières plates." Bulletin de la Société Mathématique de France 119.2 (1991): 231-257. <http://eudml.org/doc/87624>.
@article{Biquard1991,
author = {Biquard, Olivier},
journal = {Bulletin de la Société Mathématique de France},
keywords = {theorem of Narasimhan and Seshadri; Uhlenbeck's weak compactness theorem; Sobolev inequalities; orbifold methods},
language = {fre},
number = {2},
pages = {231-257},
publisher = {Société mathématique de France},
title = {Fibrés paraboliques stables et connexions singulières plates},
url = {http://eudml.org/doc/87624},
volume = {119},
year = {1991},
}
TY - JOUR
AU - Biquard, Olivier
TI - Fibrés paraboliques stables et connexions singulières plates
JO - Bulletin de la Société Mathématique de France
PY - 1991
PB - Société mathématique de France
VL - 119
IS - 2
SP - 231
EP - 257
LA - fre
KW - theorem of Narasimhan and Seshadri; Uhlenbeck's weak compactness theorem; Sobolev inequalities; orbifold methods
UR - http://eudml.org/doc/87624
ER -
References
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- [8]NARASIMHAN (M.S.) and SESHADRI (C.S.). — Stable and unitary vector bundles on a compact Riemann surface, Ann. Math.(2), t. 82, 1965, p. 540-567. Zbl0171.04803MR32 #1725
- [9]SESHADRI (C.S.). — Fibrés vectoriels sur les courbes algébriques, Astérisque, t. 96, 1982. Zbl0517.14008MR85b:14023
- [10]SIMPSON (C.T.). — Contructing variations of Hodge structure using Yang-Mills theory and applications to uniformization, J. Amer. Math. Soc., t. 1, 1988, p. 867-918. Zbl0669.58008MR90e:58026
- [11]SIMPSON (C.T.). — Harmonic bundles on noncompact curves, J. Amer. Math. Soc., t. 3, 1990, p. 713-770. Zbl0713.58012MR91h:58029
- [12]UHLENBECK (K.K.). — Connections with Lp bounds on curvature, Comm. Math. Phys., t. 83, 1982, p. 31-42. Zbl0499.58019MR83e:53035
- [13]UHLENBECK (K.K.) and YAU (S.T.). — On the existence of Hermitian Yang-Mills connections in stable vector bundles, Comm. Pure Appl. Math., t. 39-S, 1986, p. 257-293. Zbl0615.58045MR88i:58154
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