@article{PMIHES_1994__79__47_0, author = {Simpson, Carlos T.}, title = {Moduli of representations of the fundamental group of a smooth projective variety {I}}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {47--129}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {79}, year = {1994}, mrnumber = {1307297}, zbl = {0891.14005}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1994__79__47_0/} }
TY - JOUR AU - Simpson, Carlos T. TI - Moduli of representations of the fundamental group of a smooth projective variety I JO - Publications Mathématiques de l'IHÉS PY - 1994 SP - 47 EP - 129 VL - 79 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1994__79__47_0/ LA - en ID - PMIHES_1994__79__47_0 ER -
%0 Journal Article %A Simpson, Carlos T. %T Moduli of representations of the fundamental group of a smooth projective variety I %J Publications Mathématiques de l'IHÉS %D 1994 %P 47-129 %V 79 %I Institut des Hautes Études Scientifiques %U http://www.numdam.org/item/PMIHES_1994__79__47_0/ %G en %F PMIHES_1994__79__47_0
Simpson, Carlos T. Moduli of representations of the fundamental group of a smooth projective variety I. Publications Mathématiques de l'IHÉS, Tome 79 (1994), pp. 47-129. http://www.numdam.org/item/PMIHES_1994__79__47_0/
[Ar] Algebraic approximation of structures over complete local rings, Publ. Math. I.H.E.S., 36 (1969), 23-58. | EuDML | Numdam | MR | Zbl
,[Be] Course on D-modules, Harvard, 1983-1984.
,[BT] Eléments unipotents et sous-groupes paraboliques de groupes réductifs I, Invent. Math., 12 (1971), 95-104. | EuDML | MR | Zbl
, ,[Co] Flat G-bundles with canonical metrics, J. Diff. Geom., 28 (1988), 361-382. | MR | Zbl
,[De1] Equations différentielles à points singuliers réguliers, Lect. Notes in Math., 163, Springer, New York (1970). | MR | Zbl
,[De2]
, Letter.[DM] Tannakian categories, In Lect. Notes in Math., 900, Springer (1982), 101-228. | MR | Zbl
and ,[Do1] 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
,[Do2] Infinite determinants, stable bundles, and curvature, Duke Math. J., 54 (1987), 231-247. | MR | Zbl
,[Do3] Twisted harmonic maps and self-duality equations, Proc. London Math. Soc., 55 (1987), 127-131. | MR | Zbl
,[Gi] On the moduli of vector bundles on an algebraic surface, Ann. of Math., 106 (1977), 45-60. | MR | Zbl
,[GM] The deformation theory of representations of fundamental groups of compact Kähler manifolds, Publ. Math. I.H.E.S., 67 (1988), 43-96. | Numdam | MR | Zbl
and ,[Gr1] Eléments de géométrie algébrique, Several volumes in Publ. Math. I.H.E.S. | Numdam | Zbl
,[Gr2] Techniques de construction et théorèmes d'existence en géométrie algébrique, IV : Les schémas de Hilbert, Sém. Bourbaki, Exposé 221, volume 1960-1961. | Numdam | Zbl
,[Gr3] Crystals and the De Rham cohomology of schemes, Dix exposés sur la cohomologie des schémas, North-Holland, Amsterdam (1968). | MR | Zbl
,[GS] Birational equivalence in symplectic geometry, Invent. Math., 97 (1989), 485-522. | MR | Zbl
, ,[Ha] Algebraic Geometry, Springer, New York (1977). | MR | Zbl
,[Hi1] The self-duality equations on a Riemann surface, Proc. London Math. Soc. (3), 55 (1987), 59-126. | MR | Zbl
,[Hi2] Stable bundles and integrable systems, Duke Math. J., 54 (1987), 91-114. | MR | Zbl
,[KN] On the lengths of vectors in representation spaces, Lect. Notes in Math., 732, Springer, Heidelberg (1982), 233-243. | MR | Zbl
, ,[Ki] Cohomology of Quotients in Symplectic and Algebraic Geometry, Princeton Univ. Press, Princeton (1984). | MR | Zbl
,[Le] Fibrés de Higgs et systèmes locaux, Séminaire Bourbaki 737 (1991). | Numdam | MR | Zbl
,[Lu] Slices étales, Bull. Soc. Math. France, Mémoire 33 (1973), 81-105. | Numdam | MR | Zbl
,[Ma1] Moduli of stable sheaves, I : J. Math. Kyoto Univ., 17-1 (1977), 91-126 ; II : Ibid., 18-3 (1978), 557-614. | MR | Zbl
,[Ma2] On boundedness of families of torsion free sheaves, J. Math. Kyoto Univ., 21-4 (1981), 673-701. | MR | Zbl
,[Mt] See reference in Geometric Invariant Theory.
,[MR1] Semistable sheaves on projective varieties and their restriction to curves, Math. Ann., 258 (1982), 213-224. | MR | Zbl
and ,[MR2] Restriction of stable sheaves and representations of the fundamental group, Invent. Math., 77 (1984), 163-172. | MR | Zbl
and ,[Mo] Proof of the regularity theorem (Russian), Usp. M. Nauk., XI (1956), 191-194. | MR | Zbl
,[Mu] Geometric Invariant Theory, Springer Verlag, New York (1965). | MR | Zbl
,[NS] Stable and unitary bundles on a compact Riemann surface, Ann. of Math., 82 (1965), 540-564. | MR | Zbl
and ,[Ni1] Moduli space of semistable pairs on a curve, Proc. London Math. Soc., 62 (1991), 275-300. | MR | Zbl
,[Ni2] Moduli of semi-stable logarithmic connections, Jour. Amer. Math. Soc., 6 (1993), 597-610. | MR | Zbl
,[No] On the representations of the fundamental group, Compositio Math., 33 (1976), 29-41. | Numdam | MR | Zbl
,[Ox] Spectral curves of vector bundle endomorphisms, preprint, Kyoto University (1988).
,[Ru] Real and Complex Analysis, Mac Graw-Hill, New York (1974). | MR | Zbl
,[Sa] Catégories tannakiennes, Lect. Notes in Math., 265 Springer, (1972). | MR | Zbl
,[Se1] Space of unitary vector bundles on a compact Riemann surface, Ann. of Math., 85 (1967), 303-336. | MR | Zbl
,[Se2] Mumford's conjecture for GL(2) and applications, Bombay Colloquium, Oxford University Press (1968), 347-371. | MR | Zbl
,[Si1] Yang-Mills theory and uniformization, Lett. Math. Phys., 14 (1987), 371-377. | MR | Zbl
,[Si2] Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization, Journal of the A.M.S., 1 (1988), 867-918. | MR | Zbl
,[Si3] Nonabelian Hodge theory, International Congress of Mathematicians, Kyoto 1990, Proceedings, Springer, Tokyo (1991), 747-756. | MR | Zbl
,[Si4] A lower bound for the monodromy of ordinary differential equations, Analytic and Algebraic Geometry, Tokyo 1990, Proceedings, Springer, Tokyo (1991), 198-230. | MR | Zbl
,[Si5] Higgs bundles and local systems, Publ. Math. I.H.E.S., 75 (1992), 5-95. | Numdam | MR | Zbl
,[Uh] Connections with Lp bounds on curvature, Commun. Math. Phys., 83 (1982), 31-42. | MR | Zbl
,[UY] On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Comm. Pure and Appl. Math., 39-S (1986), 257-293. | MR | Zbl
and ,