Subspaces of moduli spaces of rank one local systems
Simpson, Carlos
Annales scientifiques de l'École Normale Supérieure, Tome 26 (1993), p. 361-401 / Harvested from Numdam
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@article{ASENS_1993_4_26_3_361_0,
     author = {Simpson, Carlos},
     title = {Subspaces of moduli spaces of rank one local systems},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {26},
     year = {1993},
     pages = {361-401},
     doi = {10.24033/asens.1675},
     mrnumber = {94f:14008},
     zbl = {0798.14005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1993_4_26_3_361_0}
}

Simpson, Carlos. Subspaces of moduli spaces of rank one local systems. Annales scientifiques de l'École Normale Supérieure, Tome 26 (1993) pp. 361-401. doi : 10.24033/asens.1675. http://gdmltest.u-ga.fr/item/ASENS_1993_4_26_3_361_0/

[1] D. Arapura, Higgs Line Bundles, Green-Lazarsfeld Sets and Maps of Kähler Manifolds to Curves (Bulletin of the A.M.S., Vol. 26, 1992, p. 310-314). | MR 92m:14010 | Zbl 0759.14016

[2] A. Beauville, Annulation du H1 et systèmes paracanoniques sur les surfaces (Crelle Journ., Vol. 388, 1988, p. 149-157). | MR 89i:14032 | Zbl 0639.14017

[3] A. Beauville, Annulation du H1 pour les fibrés en droites plats (Preprint for the conference, Complex Algebraic Varieties, Bayreuth, 1990).

[4] E. Brieskorn, die Monodromie der isolierten Singularitäten von Hyperflächen (Manuscripta Mathematica, Vol. 2, 1970, p. 103-161). | MR 42 #2509 | Zbl 0186.26101

[5] F. Catanese, Moduli and Classification of Irregular Kaehler Manifolds (and Algebraic varieties) with Albanese General Type Fibrations (Inv. Math., Vol. 104, 1991, p. 263-289). | MR 92f:32049 | Zbl 0743.32025

[6] K. Corlette, Flat G-Bundles with Canonical Metrics (J. Diff. Geom., Vol. 28, 1988, p. 361-382). | MR 89k:58066 | Zbl 0676.58007

[7] P. Deligne, Équations différentielles à points singuliers réguliers (Lect. Notes in Math., Vol. 163, Springer-Verlag, 1970). | MR 54 #5232 | Zbl 0244.14004

[8] P. Deligne, Letter (Nov. 20, 1991).

[9] P. Deligne, J. S. Milne, A. Ogus and K. Shih, Hodge Cycles, Motives and Shimura Varieties (Lect. Notes in Math., Vol. 900, Springer-Verlag, 1982). | MR 84m:14046 | Zbl 0465.00010

[10] P. Dolbeault, Formes différentielles et cohomologie sur une variété analytique complexe (I. Ann. of Math., Vol. 64, 1956, p. 83-130). | MR 18,670e | Zbl 0072.40603

[11] S. K. Donaldson, Twisted harmonic maps and self-duality equations (Proc. London Math. Soc., Vol. 55, 1987, p. 127-131). | MR 88g:58040 | Zbl 0634.53046

[12] A. Fujiki, Hyperkähler Structure on the Moduli Space of Flat Bundles, Preprint, Kyoto University, 1990.

[13] A. Gray, A Note on Manifolds whose Holonomy Group is a Subgroup of Sp (n). Sp (1) (Michigan Math. J., Vol. 16, 1969, p. 125-128). | MR 39 #6226 | Zbl 0177.50001

[14] M. Green and R. Lazarsfeld, Deformation Theory, Generic Vanishing Theorems and Some Conjectures of Enriques, Catanese and Beauville (Invent. Math., Vol. 90, 1987, p. 389-407). | MR 89b:32025 | Zbl 0659.14007

[15] M. Green and R. Lazarsfeld, Higher Obstructions to Deforming Cohomology Groups of Line Bundles, Preprint, 1990.

[16] A. Grothendieck, Crystals and the De Rham Cohomology of Schemes. Dix exposés sur la cohomologie des schémas, North-Holland, Amsterdam, 1968. | MR 42 #4558 | Zbl 0215.37102

[17] N. J. Hitchin, The Self-Duality Equations on a Riemann Surface (Proc. London Math. Soc., Vol. 55, No. 3, p. 59-126). | MR 89a:32021 | Zbl 0634.53045

[18] S. Lang, Introduction to Transcendental Numbers, Addison-Wesley, Reading, Mass, 1966. | MR 35 #5397 | Zbl 0144.04101

[19] J. Le Potier, Fibrés de Higgs et systèmes locaux, Séminaire Bourbaki, Vol. 737, 1991. | Numdam | MR 93e:14012 | Zbl 0762.14011

[20] C. Simpson, Asymptotic Behavior of Monodromy (Lect. Notes in Math., Vol. 1502, 1991, Springer-Verlag Heidelberg). | MR 93g:32032 | Zbl 0758.34046

[21] C. Simpson, Higgs bundles and local systems (Publ. Math. I.H.E.S., Vol. 75, 1992, p. 5-95). | Numdam | MR 94d:32027 | Zbl 0814.32003

[22] C. Simpson, Moduli of Representations of the Fundamental Group of a Smooth Projective Variety, Preprint, Princeton University, 1989.

[23] C. Simpson, Some Families of Local Systems over Smooth Projective Varieties, Preprint, 1991.

[24] C. Simpson, Transcendental Aspects of the Riemann-Hilbert Correspondence (Illinois J. of Math., Vol. 34, 1990, p. 368-391). | MR 91b:14009 | Zbl 0727.34007

[25] E. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966. | MR 35 #1007 | Zbl 0145.43303

[26] M. Waldschmidt, Nombres transcendents et groupes algébriques (Astérisque, Vol. 69-70, 1979, p. 1-218). | MR 82k:10041 | Zbl 0428.10017