Moduli of representations of the fundamental group of a smooth projective variety II

 Access to full text

 Full (PDF)

1. [Ar] M. ARTIN, Algebraic approximation of structures over complete local rings, Publ. Math. I.H.E.S., 36 (1969), 23-58. Zbl0181.48802MR42 #3087
2. [Be] J. BERNSTEIN, Course on D-modules, Harvard, 1983-1984. 
3. [BT] A. BOREL, J. TITS, Eléments unipotents et sous-groupes paraboliques de groupes réductifs I, Invent. Math., 12 (1971), 95-104. Zbl0238.20055MR45 #3419
4. [Co] K. CORLETTE, Flat G-bundles with canonical metrics, J. Diff. Geom., 28 (1988), 361-382. Zbl0676.58007MR89k:58066
5. [De1] P. DELIGNE, Equations différentielles à points singuliers réguliers, Lect. Notes in Math., 163, Springer, New York (1970). Zbl0244.14004MR54 #5232
6. [De2] P. DELIGNE, Letter, 1989. 
7. [DM] P. DELIGNE and J. MILNE, Tannakian categories, in Lect. Notes in Math., 900, Springer (1982), 101-228. Zbl0477.14004MR84m:14046
8. [Do1] 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. Zbl0529.53018MR86h:58038
9. [Do2] S. K. DONALDSON, Infinite determinants, stable bundles, and curvature, Duke Math. J., 54 (1987), 231-247. Zbl0627.53052MR88g:32046
10. [Do3] S. K. DONALDSON, Twisted harmonic maps and self-duality equations, Proc. London Math. Soc., 55 (1987), 127-131. Zbl0634.53046MR88g:58040
11. [Gi] D. GIESEKER, On the moduli of vector bundles on an algebraic surface, Ann. of Math., 106 (1977), 45-60. Zbl0381.14003MR81h:14014
12. [GM] W. GOLDMAN and J. MILLSON, The deformation theory of representations of fundamental groups of compact Kähler manifolds, University of Maryland preprint (0000). Zbl0663.53056
13. [Gr1] A. GROTHENDIECK, Eléments de géométrie algébrique, Several volumes in Publ. Math. I.H.E.S. Zbl0203.23301
14. [Gr2] A. GROTHENDIECK, Techniques de construction et théorèmes d'existence en géométrie algébrique, IV : Les schémas de Hilbert, Séminaire Bourbaki, Exposé 221, volume 1960-1961. Zbl0236.14003
15. [Gr3] A. GROTHENDIECK, Crystals and the De Rham cohomology of schemes, Dix exposés sur la cohomologie des schémas, North-Holland, Amsterdam (1968). Zbl0215.37102MR42 #4558
16. [GS] V. Guillemin, S. Sternberg, Birational equivalence in symplectic geometry, Invent. Math., 97 (1989), 485-522. Zbl0683.53033MR90f:58060
17. [Ha] R. HARTSHORNE, Algebraic Geometry, Springer, New York (1977). Zbl0367.14001MR57 #3116
18. [Hi1] N. J. HITCHIN, The self-duality equations on a Riemann surface, Proc. London Math. Soc. (3), 55 (1987), 59-126. Zbl0634.53045MR89a:32021
19. [Hi2] N. J. HITCHIN, Stable bundles and integrable systems, Duke Math. J., 54 (1987), 91-114. Zbl0627.14024MR88i:58068
20. [KN] G. KEMPF, L. NESS, On the lengths of vectors in representation spaces, Lect. Notes in Math., 732, Springer, Heidelberg (1982), 233-243. Zbl0407.22012MR81i:14032
21. [Ki] F. KIRWAN, Cohomology of Quotients in Symplectic and Algebraic Geometry, Princeton Univ. Press, Princeton (1984). Zbl0553.14020MR86i:58050
22. [Le] J. LE POTIER, Fibrés de Higgs et systèmes locaux, Séminaire Bourbaki 737 (1991). Zbl0762.14011MR93e:14012
23. [Lu] D. LUNA, Slices étales, Bull. Soc. Math. France, Mémoire 33 (1973), 81-105. Zbl0286.14014MR49 #7269
24. [Ma1] M. MARUYAMA, Moduli of stable sheaves, I : J. Math. Kyoto Univ., 17-1 (1977), 91-126 ; II : Ibid., 18-3 (1978), 557-614. Zbl0374.14002MR56 #8567
25. [Ma2] M. MARUYAMA, On boundedness of families of torsion free sheaves, J. Math. Kyoto Univ., 21-4 (1981), 673-701. Zbl0495.14009MR83a:14019
26. [Mt] MATSUSHIMA, See reference in Geometric Invariant Theory. 
27. [MR1] V. B. MEHTA and A. RAMANATHAN, Semistable sheaves on projective varieties and their restriction to curves, Math. Ann., 258 (1982), 213-224. Zbl0473.14001MR83f:14013
28. [MR2] V. B. MEHTA and A. RAMANATHAN, Restriction of stable sheaves and representations of the fundamental group, Invent. Math., 77 (1984), 163-172. Zbl0525.55012MR85m:14026
29. [Mo] V. V. MOROZOV, Proof of the regularity theorem (Russian), Usp. M. Nauk., XI (1956), 191-194. Zbl0071.25802MR19,527c
30. [Mu] D. MUMFORD, Geometric Invariant Theory, Springer Verlag, New York (1965). Zbl0147.39304MR35 #5451
31. [NS] M. S. NARASIMHAN and C. S. SESHADRI, Stable and unitary bundles on a compact Riemann surface, Ann. of Math., 82 (1965), 540-564. Zbl0171.04803MR32 #1725
32. [Ni1] N. NITSURE, Moduli space of semistable pairs on a curve, Proc. London Math. Soc., 62 (1991), 275-300. Zbl0733.14005MR92a:14010
33. [Ni2] N. NITSURE, Moduli of semi-stable logarithmic connections, preprint (1991). 
34. [No] M. V. NORI, On the representations of the fundamental group, Compositio Math., 33 (1976), 29-41. Zbl0337.14016MR54 #5237
35. [Ox] W. M. OXBURY, Spectral curves of vector bundle endomorphisms, preprint, Kyoto University (1988). 
36. [Ru] W. RUDIN, Real and Complex Analysis, Mac Graw-Hill, New York (1974). Zbl0278.26001MR49 #8783
37. [Sa] N. SAAVEDRA RIVANO, Catégories tannakiennes, Lect. Notes in Math., 265, Springer (1972). Zbl0241.14008MR49 #2769
38. [Se1] C. S. SESHADRI, Space of unitary vector bundles on a compact Riemann surface, Ann. of Math., 85 (1967), 303-336. Zbl0173.23001MR38 #1693
39. [Se2] C. S. SESHADRI, Mumford's conjecture for GL(2) and applications, Bombay Colloquium, Oxford University Press (1968), 347-371. Zbl0194.51702MR41 #6858
40. [Si1] C. SIMPSON, Yang-Mills theory and uniformization, Lett. Math. Phys., 14 (1987), 371-377. Zbl0635.32017MR89a:32034
41. [Si2] C. SIMPSON, Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization, Journal of the A.M.S., 1 (1988), 867-918. Zbl0669.58008MR90e:58026
42. [Si3] C. SIMPSON, Nonabelian Hodge theory, International Congress of Mathematicians, Kyoto 1990, Proceedings, Springer, Tokyo (1991), 747-756. Zbl0765.14005MR93c:14010
43. [Si4] C. SIMPSON, A lower bound for the monodromy of ordinary differential equations, Analytic and Algebraic Geometry, Tokyo 1990, Proceedings, Springer, Tokyo (1991), 198-230. Zbl0813.32020MR95d:32025
44. [Si5] C. SIMPSON, Higgs bundles and local systems, Publ. Math. I.H.E.S., 75 (1992), 5-95. Zbl0814.32003MR94d:32027
45. [Uh] K. K. UHLENBECK, Connections with Lp bounds on curvature, Commun. Math. Phys., 83 (1982), 31-42. Zbl0499.58019MR83e:53035
46. [UY] K. K. UHLENBECK and S. T. YAU, On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Comm. Pure and Appl. Math., 39-S (1986), 257-293. Zbl0615.58045MR88i:58154

1. Ishai Dan-Cohen, Moduli of unipotent representations I: foundational topics
2. Christophe Soulé, Classes caractéristiques secondaires des fibrés plats
3. Gentiana Danila, Résultats sur la conjecture de dualité étrange sur le plan projectif