@article{ASENS_1997_4_30_1_41_0, author = {Biquard, Olivier}, title = {Fibr\'es de {Higgs} et connexions int\'egrables : le cas logarithmique (diviseur lisse)}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {41--96}, publisher = {Elsevier}, volume = {4e s{\'e}rie, 30}, number = {1}, year = {1997}, doi = {10.1016/s0012-9593(97)89915-6}, mrnumber = {98e:32054}, zbl = {0876.53043}, language = {fr}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(97)89915-6/} }
TY - JOUR AU - Biquard, Olivier TI - Fibrés de Higgs et connexions intégrables : le cas logarithmique (diviseur lisse) JO - Annales scientifiques de l'École Normale Supérieure PY - 1997 SP - 41 EP - 96 VL - 30 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(97)89915-6/ DO - 10.1016/s0012-9593(97)89915-6 LA - fr ID - ASENS_1997_4_30_1_41_0 ER -
%0 Journal Article %A Biquard, Olivier %T Fibrés de Higgs et connexions intégrables : le cas logarithmique (diviseur lisse) %J Annales scientifiques de l'École Normale Supérieure %D 1997 %P 41-96 %V 30 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(97)89915-6/ %R 10.1016/s0012-9593(97)89915-6 %G fr %F ASENS_1997_4_30_1_41_0
Biquard, Olivier. Fibrés de Higgs et connexions intégrables : le cas logarithmique (diviseur lisse). Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 30 (1997) no. 1, pp. 41-96. doi : 10.1016/s0012-9593(97)89915-6. http://www.numdam.org/articles/10.1016/s0012-9593(97)89915-6/
[1] Fibrés paraboliques stables et connexions singulières plates (Bull. Soc. Math. France, vol. 119, 1991, p. 231-257). | Numdam | MR | Zbl
,[2] Prolongement d'un fibré holomorphe hermitien à courbure Lp sur une courbe ouverte (Int. J. Math., vol. 3, 1992, p. 441-453). | MR | Zbl
,[3] Sur les fibrés paraboliques sur une surface complexe (J. London Math. Soc., vol. 53, 1996, p. 302-316). | MR | Zbl
,[4] Sur les équations de Nahm et la structure de Poisson des algèbres de Lie semi-simples complexes (Math. Ann., vol. 304, 1996, p. 253-276). | MR | Zbl
,[5] An infinitesimal study of the moduli of Hitchin pairs (J. London Math. Soc., vol. 49, 1994, p. 219-231). | MR | Zbl
et ,[6] L2 and intersection cohomologies for a polarizable variation of Hodge structure (Inventiones math., vol. 87, 1987, p. 217-252). | MR | Zbl
, et ,[7] Flat G-bundles with canonical metrics (J. Differential Geom., vol. 28, 1988, p. 361-382). | MR | Zbl
,[8] Analytic cycles and vector bundles on non-compact algebraic varieties (Inventiones math., vol. 28, 1975, p. 1-106). | MR | Zbl
et ,[9] A new proof of a theorem of Narasimhan and Seshadri, (J. Differential Geom., vol. 18, 1983, p. 269-277). | MR | Zbl
,[10] Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles (Proc. London Math. Soc., (3) 50, 1985, p. 1-26). | MR | Zbl
,[11] Infinite determinants, stable bundles and curvature (Duke Math. J., vol. 54, 1987, p. 231-247). | MR | Zbl
,[12] Twisted harmonic maps and self-duality equations (Proc. London Math. Soc., vol. 55, 1987, p. 127-131). | MR | Zbl
,[13] Hyper-Kähler structure on the moduli space of flat bundles (Prospects in complex geometry (Katata and Kyoto, 1989), 1-83, L.N.M. 1468, Springer (Berlin 1991)). | Zbl
,[14] The deformation theory of representations of fundamental groups of compact Kähler manifolds (Publ. Math. I.H.E.S., vol. 67, 1988, p. 43-96). | Numdam | MR | Zbl
et ,[15] The self-duality equations on a Riemann surface (Proc. London Math. Soc., vol. 55, 1987, p. 59-126). | MR | Zbl
,[16] Harmonic maps and Sl(r, ℂ)-representations of fundamental groups of quasiprojective manifolds (J. Algebr. Geom., vol. 5, 1996, p. 77-106). | MR | Zbl
et ,[17] Harmonic maps of infinite energy and rigidity results for archimedean and nonarchimedean representations of fundamental groups of quasiprojective varieties, preprint.
et ,[18] The Poincaré lemma for variations of polarized Hodge structure (Publ. RIMS Kyoto Univ., vol. 23, 1987, p. 345-407). | MR | Zbl
et ,[19] Gauge theory for embedded surfaces, I (Topology, vol. 32, 1993, p. 773-826). | MR | Zbl
et ,[20] Fibrés de Higgs et systèmes locaux (Séminaire Bourbaki, exposé 737, 1991). | Numdam | MR | Zbl
,[21] Elliptic differential operators on noncompact manifolds (Ann. Scuola. Norm. Sup. Pisa Cl. Sci., (4) 12, 1985, p. 409-447). | Numdam | MR | Zbl
et ,[22] Fibrés stables et métriques d'Hermite-Einstein, d'après S. K. Donaldson, K. K. Uhlenbeck et S. T. Yau (Séminaire Bourbaki, exposé 683, 1987). | Numdam | Zbl
,[23] Estimates in Lp and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary (Amer. Math. Soc. Transl., (2) 123, 1984, p. 1-56). | Zbl
et ,[24] Moduli of vector bundles on curves with parabolic structures (Math. Ann., vol. 248, 1980, p. 205-239). | MR | Zbl
et ,[25] Stable and unitary bundles on a compact Riemann surface (Ann. Math., vol. 82, 1965, p. 540-564). | MR | Zbl
et ,[26] Moduli of semistable logarithmic connections (J. Amer. Math. Soc., vol. 6, 1993, p. 597-609). | MR | Zbl
,[27] Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization (J. Amer. Math. Soc., vol. 1, 1988, p. 867-918). | MR | Zbl
,[28] Harmonic bundles on noncompact curves (J. Amer. Math. Soc., vol. 3, 1990, p. 713-770). | MR | Zbl
,[29] Higgs bundles and local systems (Publ. Math. I.H.E.S., vol. 75, 1992, p. 5-95). | Numdam | MR | Zbl
,[30] On the existence of Hermitian-Yang-Mills connections in stable vector bundles (Commun. Pure Appl. Math., vol. 39S, 1986, p. 257-293). | MR | Zbl
et ,[31] A note on our previous paper : on the existence of Hermitian-Yang-Mills connections in stable vector bundles (Commun. Pure Appl. Math., vol. 42, 1989, p. 703-707). | MR | Zbl
et ,[32] Hodge theory with degenerating coefficients : L2 cohomology in the Poincaré metric (Ann. Math., (2) 109, 1979, p. 415-476). | MR | Zbl
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