Fibrés stables et métriques d'Hermite-Einstein
Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque, no. 152-153 (1987), Exposé no. 683, 21 p.
@incollection{SB_1986-1987__29__263_0,
     author = {Margerin, Christophe},
     title = {Fibr\'es stables et m\'etriques {d'Hermite-Einstein}},
     booktitle = {S\'eminaire Bourbaki : volume 1986/87, expos\'es 669-685},
     series = {Ast\'erisque},
     note = {talk:683},
     pages = {263--283},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {152-153},
     year = {1987},
     mrnumber = {936859},
     zbl = {0637.53080},
     language = {fr},
     url = {http://www.numdam.org/item/SB_1986-1987__29__263_0/}
}
TY  - CHAP
AU  - Margerin, Christophe
TI  - Fibrés stables et métriques d'Hermite-Einstein
BT  - Séminaire Bourbaki : volume 1986/87, exposés 669-685
AU  - Collectif
T3  - Astérisque
N1  - talk:683
PY  - 1987
SP  - 263
EP  - 283
IS  - 152-153
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/SB_1986-1987__29__263_0/
LA  - fr
ID  - SB_1986-1987__29__263_0
ER  - 
%0 Book Section
%A Margerin, Christophe
%T Fibrés stables et métriques d'Hermite-Einstein
%B Séminaire Bourbaki : volume 1986/87, exposés 669-685
%A Collectif
%S Astérisque
%Z talk:683
%D 1987
%P 263-283
%N 152-153
%I Société mathématique de France
%U http://www.numdam.org/item/SB_1986-1987__29__263_0/
%G fr
%F SB_1986-1987__29__263_0
Margerin, Christophe. Fibrés stables et métriques d'Hermite-Einstein, dans Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque, no. 152-153 (1987), Exposé no. 683, 21 p. http://www.numdam.org/item/SB_1986-1987__29__263_0/

[A-B] M. F. Atiyah - R. Bott, The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser.A 308 (1982), 524-615. | MR | Zbl

[Bi] E. Bishop, Conditions for the analyticity of certain sets, Michigan Math.J. (1964), 289-304. | MR | Zbl

[Bo] F. Bogomolov, Holomorphic tensors and vector bundles, Izvestia USSR 42 (1978),1227-1287. | MR | Zbl

[D1] S. K. Donaldson, A new proof of a theorem of Narasimhan and Seshadri, J. Differential Geom., 18 (1983), 269-277. | MR | Zbl

[D2] S. K. Donaldson, Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles Proc. London Math. Soc. (3) 50 (1985), 1-26. | MR | Zbl

[D3] S. K. Donaldson, Inimité determinants - Stable bundles and curvature, Preprint (Oxford-England).

[G-T] D. Gilbarg et N. S. Trudinger, Elliptic Partial Differential equations of second order, Springer 1977. | MR | Zbl

[Ham] R. S. Hamilton, Harmonic Maps of manifolds with boundary, Lecture Notes in Mathematics 471 (Springer 1975). | MR | Zbl

[Hi] N. J. Hitchin, The self duality equations on a Riemann surface, à paraître in Proc. London Math. Soc. | Zbl

[Ko] S. Kobayashi, Curvature and stability of vector bundles, Proc. Japan Acad. Ser. A. Math. Sci. 58 (1982), 158-162. | MR | Zbl

[Lü1] M. Lubke, Chernklassen von Hermite-Einstein-Vektorbündeln, Math. Ann. 260 (1982), 133-141. | MR | Zbl

[Lü2] M. Lubke, Stability of Einstein-Hermitian Vector bundles, Manuscripta Math. 42 (1983), 245-257. | MR | Zbl

[M-R1] R. B. Mehta, A. Ramanathan, Semi-stable sheaves on projective varieties and their restriction to curves, Math. Ann. 258 (1982), 213-224. | Zbl

[M-R2] R. B. Mehta, A. Ramanathan, Restriction of stable sheaves and representations of the fundamental group, Invent. Math. 77, 163-172 (1984). | MR | Zbl

[N-S] M. S. Narasimhan, C. S. Seshadri, Stable and unitary vector bundles on compact Riemann surfaces, Ann. of Math. 82 (1965), 540-567. | MR | Zbl

[O-S-S] C. Okonek, M. Schneider, H. Spindler, Vector bundles on complex projective spaces, Birkhäuser (1980). | MR | Zbl

[ s.g.a] F. Campana, le théorème sur les limites d'ensembles analytiques de E. Bishop, le Séminaire de Géométrie Analytique, Publication de l'Institut Elie Cartan n°5, Janvier 1982. | MR

[ s.g.a] C. Sabbah, Application du théorème de Bishop à l'espace des cycles, Séminaire de Géométrie Analytique, Publication de l'Institut Elie Cartan n°5, Janvier 1982.

[U] K. K. Uhlenbeck, Connections with Lp bounds on curvature, Comm. Math. Phys. 83 (1982), 31-42. | MR | Zbl

[U-Y] K. K. Uhlenbeck et S. T. Yau, On the existence of Hermitian-Yang-Mills connections in stable Vector Bundles, Preprint, (à paraître dans Communication Pure and Applied Math). | MR | Zbl