Fibrés stables et métriques d'Hermite-Einstein

 Access to full text

 Full (PDF)

1. [A-B] M.F. Atiyah- R. Bott, The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser.A308 (1982), 524-615. Zbl0509.14014MR702806
2. [Bi] E. Bishop, Conditions for the analyticity of certain sets, Michigan Math.J. (1964), 289-304. Zbl0143.30302MR168801
3. [Bo] F. Bogomolov, Holomorphic tensors and vector bundles, Izvestia USSR42 (1978),1227-1287. Zbl0439.14002MR522939
4. [D1] S.K. Donaldson, A new proof of a theorem of Narasimhan and Seshadri, J. Differential Geom., 18 (1983), 269-277. Zbl0504.49027MR710055
5. [D2] S.K. Donaldson, Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundlesProc. London Math. Soc. (3) 50 (1985), 1-26. Zbl0529.53018MR765366
6. [D3] S.K. Donaldson, Inimité determinants - Stable bundles and curvature, Preprint (Oxford-England). 
7. [G-T] D. Gilbarg et N.S. Trudinger, Elliptic Partial Differential equations of second order, Springer1977. Zbl0361.35003MR473443
8. [Ham] R.S. Hamilton, Harmonic Maps of manifolds with boundary, Lecture Notes in Mathematics471 (Springer1975). Zbl0308.35003MR482822
9. [Hi] N.J. Hitchin, The self duality equations on a Riemann surface, à paraître in Proc. London Math. Soc. Zbl0634.53045
10. [Ko] S. Kobayashi, Curvature and stability of vector bundles, Proc. Japan Acad. Ser. A. Math. Sci.58 (1982), 158-162. Zbl0546.53041MR664562
11. [Lü1] M. Lubke, Chernklassen von Hermite-Einstein-Vektorbündeln, Math. Ann.260 (1982), 133-141. Zbl0471.53043MR664372
12. [Lü2] M. Lubke, Stability of Einstein-Hermitian Vector bundles, Manuscripta Math.42 (1983), 245-257. Zbl0558.53037MR701206
13. [M-R1] R.B. Mehta, A. Ramanathan, Semi-stable sheaves on projective varieties and their restriction to curves, Math. Ann.258 (1982), 213-224. Zbl0473.14001
14. [M-R2] R.B. Mehta, A. Ramanathan, Restriction of stable sheaves and representations of the fundamental group, Invent. Math.77, 163-172 (1984). Zbl0525.55012MR751136
15. [N-S] M.S. Narasimhan, C.S. Seshadri, Stable and unitary vector bundles on compact Riemann surfaces, Ann. of Math.82 (1965), 540-567. Zbl0171.04803MR184252
16. [O-S-S] C. Okonek, M. Schneider, H. Spindler, Vector bundles on complex projective spaces, Birkhäuser (1980). Zbl0438.32016MR561910
17. [ 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. MR725695
18. [ 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. 
19. [U] K.K. Uhlenbeck, Connections with Lp bounds on curvature, Comm. Math. Phys.83 (1982), 31-42. Zbl0499.58019MR648356
20. [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). Zbl0615.58045MR861491

1. Joseph Le Potier, Fibrés de Higgs et systèmes locaux
2. Daniel Bennequin, L'instanton gordien
3. Olivier Biquard, Fibrés de Higgs et connexions intégrables : le cas logarithmique (diviseur lisse)
4. Jean-Pierre Bourguignon, Métriques d'Einstein-Kähler sur les variétés de Fano : obstructions et existence