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Table of contents for this issue | Previous article | Next article Simpson, Carlos T. Moduli of representations of the fundamental group of a smooth projective variety I. Publications Mathématiques de l'IHÉS, 79 (1994), p. 47-129 Full text djvu | pdf | Reviews MR 96e:14012 | Zbl 0891.14005 | 4 citations in Numdam stable URL: http://www.numdam.org/item?id=PMIHES_1994__79__47_0 Bibliography Numdam | MR 42 #3087 | Zbl 0181.48802 [Be] J. BERNSTEIN, Course on D-modules, Harvard, [BT] A. BOREL, J. TITS, Eléments unipotents et sous-groupes paraboliques de groupes réductifs I, Invent. Math., 12 ( [Co] K. CORLETTE, Flat G-bundles with canonical metrics, J. Diff. Geom., 28 ( [De1] P. DELIGNE, Equations différentielles à points singuliers réguliers, Lect. Notes in Math., 163, Springer, New York ( [De2] P. DELIGNE, Letter. [DM] P. DELIGNE and J. MILNE, Tannakian categories, In Lect. Notes in Math., 900, Springer ( [Do1] S. K. DONALDSON, Anti self dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. (3), 50 ( [Do2] S. K. DONALDSON, Infinite determinants, stable bundles, and curvature, Duke Math. J., 54 ( Article | MR 88g:32046 | Zbl 0627.53052 [Do3] S. K. DONALDSON, Twisted harmonic maps and self-duality equations, Proc. London Math. Soc., 55 ( [Gi] D. GIESEKER, On the moduli of vector bundles on an algebraic surface, Ann. of Math., 106 ( [GM] W. GOLDMAN and J. MILLSON, The deformation theory of representations of fundamental groups of compact Kähler manifolds, Publ. Math. I.H.E.S., 67 ( Numdam | MR 90b:32041 | Zbl 0678.53059 [Gr1] A. GROTHENDIECK, Eléments de géométrie algébrique, Several volumes in Publ. Math. I.H.E.S. Numdam | Zbl 0203.23301 [Gr2] A. GROTHENDIECK, Techniques de construction et théorèmes d'existence en géométrie algébrique, IV : Les schémas de Hilbert, Sém. Bourbaki, Exposé 221, volume 1960-1961. Numdam | Zbl 0236.14003 [Gr3] A. GROTHENDIECK, Crystals and the De Rham cohomology of schemes, Dix exposés sur la cohomologie des schémas, North-Holland, Amsterdam ( [GS] V. Guillemin, S. Sternberg, Birational equivalence in symplectic geometry, Invent. Math., 97 ( [Ha] R. HARTSHORNE, Algebraic Geometry, Springer, New York ( [Hi1] N. J. HITCHIN, The self-duality equations on a Riemann surface, Proc. London Math. Soc. (3), 55 ( [Hi2] N. J. HITCHIN, Stable bundles and integrable systems, Duke Math. J., 54 ( Article | MR 88i:58068 | Zbl 0627.14024 [KN] G. KEMPF, L. NESS, On the lengths of vectors in representation spaces, Lect. Notes in Math., 732, Springer, Heidelberg ( [Ki] F. KIRWAN, Cohomology of Quotients in Symplectic and Algebraic Geometry, Princeton Univ. Press, Princeton ( [Le] J. LE POTIER, Fibrés de Higgs et systèmes locaux, Séminaire Bourbaki 737 ( Numdam | MR 93e:14012 | Zbl 0762.14011 [Lu] D. LUNA, Slices étales, Bull. Soc. Math. France, Mémoire 33 ( Numdam | MR 49 #7269 | Zbl 0286.14014 [Ma1] M. MARUYAMA, Moduli of stable sheaves, I : J. Math. Kyoto Univ., 17-1 ( Article | MR 56 #8567 | Zbl 0374.14002 [Ma2] M. MARUYAMA, On boundedness of families of torsion free sheaves, J. Math. Kyoto Univ., 21-4 ( Article | MR 83a:14019 | Zbl 0495.14009 [Mt] MATSUSHIMA, See reference in Geometric Invariant Theory. [MR1] V. B. MEHTA and A. RAMANATHAN, Semistable sheaves on projective varieties and their restriction to curves, Math. Ann., 258 ( [MR2] V. B. MEHTA and A. RAMANATHAN, Restriction of stable sheaves and representations of the fundamental group, Invent. Math., 77 ( [Mo] V. V. MOROZOV, Proof of the regularity theorem (Russian), Usp. M. Nauk., XI ( [Mu] D. MUMFORD, Geometric Invariant Theory, Springer Verlag, New York ( [NS] M. S. NARASIMHAN and C. S. SESHADRI, Stable and unitary bundles on a compact Riemann surface, Ann. of Math., 82 ( [Ni1] N. NITSURE, Moduli space of semistable pairs on a curve, Proc. London Math. Soc., 62 ( [Ni2] N. NITSURE, Moduli of semi-stable logarithmic connections, Jour. Amer. Math. Soc., 6 ( [No] M. V. NORI, On the representations of the fundamental group, Compositio Math., 33 ( Numdam | MR 54 #5237 | Zbl 0337.14016 [Ox] W. M. OXBURY, Spectral curves of vector bundle endomorphisms, preprint, Kyoto University ( [Ru] W. RUDIN, Real and Complex Analysis, Mac Graw-Hill, New York ( [Sa] N. SAAVEDRA RIVANO, Catégories tannakiennes, Lect. Notes in Math., 265 Springer, ( [Se1] C. S. SESHADRI, Space of unitary vector bundles on a compact Riemann surface, Ann. of Math., 85 ( [Se2] C. S. SESHADRI, Mumford's conjecture for GL(2) and applications, Bombay Colloquium, Oxford University Press ( [Si1] C. SIMPSON, Yang-Mills theory and uniformization, Lett. Math. Phys., 14 ( [Si2] C. SIMPSON, Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization, Journal of the A.M.S., 1 ( [Si3] C. SIMPSON, Nonabelian Hodge theory, International Congress of Mathematicians, Kyoto 1990, Proceedings, Springer, Tokyo ( [Si4] C. SIMPSON, A lower bound for the monodromy of ordinary differential equations, Analytic and Algebraic Geometry, Tokyo 1990, Proceedings, Springer, Tokyo ( [Si5] C. SIMPSON, Higgs bundles and local systems, Publ. Math. I.H.E.S., 75 ( Numdam | MR 94d:32027 | Zbl 0814.32003 [Uh] K. K. UHLENBECK, Connections with Lp bounds on curvature, Commun. Math. Phys., 83 ( Article | MR 83e:53035 | Zbl 0499.58019 [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 ( |
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