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Volumn 30, Issue 1, 1997, Pages 41-96

Fibrés de higgs et connexions intégrables : Le cas logarithmique (diviseur lisse)

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EID: 0031498314     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-9593(97)89915-6     Document Type: Article
Times cited : (71)

References (32)
  • 1
    • 0000069389 scopus 로고
    • Fibrés paraboliques stables et connexions singulières plates
    • [1] O. BIQUARD, Fibrés paraboliques stables et connexions singulières plates (Bull. Soc. Math. France, vol. 119, 1991, p. 231-257).
    • (1991) Bull. Soc. Math. France , vol.119 , pp. 231-257
    • Biquard, O.1
  • 2
    • 0001112430 scopus 로고
    • p sur une courbe ouverte
    • p sur une courbe ouverte (Int. J. Math., vol. 3, 1992, p. 441-453).
    • (1992) Int. J. Math. , vol.3 , pp. 441-453
    • Biquard, O.1
  • 3
    • 0000913854 scopus 로고    scopus 로고
    • Sur les fibrés paraboliques sur une surface complexe
    • [3] O. BIQUARD, Sur les fibrés paraboliques sur une surface complexe (J. London Math. Soc., vol. 53, 1996, p. 302-316).
    • (1996) J. London Math. Soc. , vol.53 , pp. 302-316
    • Biquard, O.1
  • 4
    • 0030530414 scopus 로고    scopus 로고
    • Sur les équations de nahm et la structure de poisson des algèbres de lie semi-simples complexes
    • [4] O. BIQUARD, Sur les équations de Nahm et la structure de Poisson des algèbres de Lie semi-simples complexes (Math. Ann., vol. 304, 1996, p. 253-276).
    • (1996) Math. Ann. , vol.304 , pp. 253-276
    • Biquard, O.1
  • 5
    • 84963056762 scopus 로고
    • An infinitesimal study of the moduli of Hitchin pairs
    • [5] I. BISWAS et S. RAMANAN, An infinitesimal study of the moduli of Hitchin pairs (J. London Math. Soc., vol. 49, 1994, p. 219-231).
    • (1994) J. London Math. Soc. , vol.49 , pp. 219-231
    • Biswas, I.1    Ramanan, S.2
  • 6
    • 0001328878 scopus 로고
    • 2 and intersection cohomologies for a polarizable variation of Hodge structure
    • 2 and intersection cohomologies for a polarizable variation of Hodge structure (Inventiones math., vol. 87, 1987, p. 217-252).
    • (1987) Inventiones Math. , vol.87 , pp. 217-252
    • Cattani, E.1    Kaplan, A.2    Schmid, W.3
  • 7
    • 84972517967 scopus 로고
    • Flat G-bundles with canonical metrics
    • [7] K. CORLETTE, Flat G-bundles with canonical metrics (J. Differential Geom., vol. 28, 1988, p. 361-382).
    • (1988) J. Differential Geom. , vol.28 , pp. 361-382
    • Corlette, K.1
  • 8
    • 0002742957 scopus 로고
    • Analytic cycles and vector bundles on non-compact algebraic varieties
    • [8] M. CORNALBA et P. GRIFFITHS, Analytic cycles and vector bundles on non-compact algebraic varieties (Inventiones math., vol. 28, 1975, p. 1-106).
    • (1975) Inventiones Math. , vol.28 , pp. 1-106
    • Cornalba, M.1    Griffiths, P.2
  • 9
    • 84972502909 scopus 로고
    • A new proof of a theorem of Narasimhan and Seshadri
    • [9] S. DONALDSON, A new proof of a theorem of Narasimhan and Seshadri, (J. Differential Geom., vol. 18, 1983, p. 269-277).
    • (1983) J. Differential Geom. , vol.18 , pp. 269-277
    • Donaldson, S.1
  • 10
    • 84959800477 scopus 로고
    • Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles
    • [10] S. DONALDSON, Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles (Proc. London Math. Soc., (3) 50, 1985, p. 1-26).
    • (1985) Proc. London Math. Soc. , vol.50 , Issue.3 , pp. 1-26
    • Donaldson, S.1
  • 11
    • 84972555858 scopus 로고
    • Infinite determinants, stable bundles and curvature
    • [11] S. DONALDSON, Infinite determinants, stable bundles and curvature (Duke Math. J., vol. 54, 1987, p. 231-247).
    • (1987) Duke Math. J. , vol.54 , pp. 231-247
    • Donaldson, S.1
  • 12
    • 84960596829 scopus 로고
    • Twisted harmonic maps and self-duality equations
    • [12] S. DONALDSON, Twisted harmonic maps and self-duality equations (Proc. London Math. Soc., vol. 55, 1987, p. 127-131).
    • (1987) Proc. London Math. Soc. , vol.55 , pp. 127-131
    • Donaldson, S.1
  • 13
    • 0010870624 scopus 로고
    • Hyper-Kähler structure on the moduli space of flat bundles
    • L.N.M. 1468, Springer Berlin
    • [13] A. FUJIKI, Hyper-Kähler structure on the moduli space of flat bundles (Prospects in complex geometry (Katata and Kyoto, 1989). 1-83, L.N.M. 1468, Springer (Berlin 1991)).
    • (1989) Prospects in Complex Geometry Katata and Kyoto , pp. 1-83
    • Fujiki, A.1
  • 14
    • 51249177029 scopus 로고
    • The deformation theory of representations of fundamental groups of compact Kühler manifolds
    • [14] W. GOLDMAN et J. MILLSON, The deformation theory of representations of fundamental groups of compact Kühler manifolds (Publ. Math. I.H.E.S., vol. 67, 1988, p. 43-96).
    • (1988) Publ. Math. I.H.E.S. , vol.67 , pp. 43-96
    • Goldman, W.1    Millson, J.2
  • 15
    • 0009072969 scopus 로고
    • The self-duality equations on a Riemann surface
    • [15] N. HITCHIN, The self-duality equations on a Riemann surface (Proc. London Math. Soc., vol. 55, 1987, p. 59-126).
    • (1987) Proc. London Math. Soc. , vol.55 , pp. 59-126
    • Hitchin, N.1
  • 16
    • 0030548948 scopus 로고    scopus 로고
    • Harmonic maps and Sl(r, ℂ)-representations of fundamental groups of quasiprojective manifolds
    • [16] J. JOST et K. Zuo, Harmonic maps and Sl(r, ℂ)-representations of fundamental groups of quasiprojective manifolds (J. Algebr. Geom., vol. 5, 1996, p. 77-106).
    • (1996) J. Algebr. Geom. , vol.5 , pp. 77-106
    • Jost, J.1    Zuo, K.2
  • 18
    • 85009629835 scopus 로고
    • The poincaré lemma for variations of polarized Hodge structure
    • [18] M. KASHIWARA et T. KAWAI, The Poincaré lemma for variations of polarized Hodge structure ( Publ. RIMS Kyoto Univ., vol. 23, 1987, p. 345-407).
    • (1987) Publ. RIMS Kyoto Univ. , vol.23 , pp. 345-407
    • Kashiwara, M.1    Kawai, T.2
  • 19
    • 0000386310 scopus 로고
    • Gauge theory for embedded surfaces, I
    • [19] P. KRONHEIMER et M. MROWKA, Gauge theory for embedded surfaces, I (Topology, vol. 32, 1993, p. 773-826).
    • (1993) Topology , vol.32 , pp. 773-826
    • Kronheimer, P.1    Mrowka, M.2
  • 21
    • 0000487507 scopus 로고
    • Elliptic differential operators on noncompact manifolds
    • [21] R. LOCKART et R. MCOWEN, Elliptic differential operators on noncompact manifolds (Ann. Scuola. Norm. Sup. Pisa Cl. Sci., (4) 12, 1985, p. 409-447).
    • (1985) Ann. Scuola. Norm. Sup. Pisa Cl. Sci. , vol.12 , Issue.4 , pp. 409-447
    • Lockart, R.1    McOwen, R.2
  • 22
    • 85030017659 scopus 로고
    • Fibrés stables et métriques d'Hermite-Einstein
    • d'après S. K. Donaldson, K. K. Uhlenbeck et S. T. Yau
    • [22] C. MARGERIN, Fibrés stables et métriques d'Hermite-Einstein, d'après S. K. Donaldson, K. K. Uhlenbeck et S. T. Yau (Séminaire Bourbaki, exposé 683, 1987).
    • (1987) Séminaire Bourbaki, Exposé , vol.683
    • Margerin, C.1
  • 23
    • 0002046758 scopus 로고
    • p and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary
    • p and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary (Amer. Math. Soc. Transl., (2) 123, 1984, p. 1-56).
    • (1984) Amer. Math. Soc. Transl. , vol.123 , Issue.2 , pp. 1-56
    • Maz'ya, V.1    Plamenevskii, B.2
  • 24
    • 0642332525 scopus 로고
    • Moduli of vector bundles on curves with parabolic structures
    • [24] V. MEHTA et C. SESHADRI, Moduli of vector bundles on curves with parabolic structures (Math. Ann., vol. 248, 1980, p. 205-239).
    • (1980) Math. Ann. , vol.248 , pp. 205-239
    • Mehta, V.1    Seshadri, C.2
  • 25
    • 0001690431 scopus 로고
    • Stable and unitary bundles on a compact Riemann surface
    • [25] M. NARASIMHAN et C. SESHADRI, Stable and unitary bundles on a compact Riemann surface (Ann. Math., vol. 82, 1965, p. 540-564).
    • (1965) Ann. Math. , vol.82 , pp. 540-564
    • Narasimhan, M.1    Seshadri, C.2
  • 26
    • 84968466784 scopus 로고
    • Moduli of semistable logarithmic connections
    • [26] N. NITSURE, Moduli of semistable logarithmic connections (J. Amer. Math. Soc., vol. 6, 1993, p. 597-609).
    • (1993) J. Amer. Math. Soc. , vol.6 , pp. 597-609
    • Nitsure, N.1
  • 27
    • 84968486257 scopus 로고
    • Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformisation
    • [27] C. SIMPSON, Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformisation (J. Amer. Math. Soc., vol. 1, 1988, p. 867-918).
    • (1988) J. Amer. Math. Soc. , vol.1 , pp. 867-918
    • Simpson, C.1
  • 28
    • 84968515238 scopus 로고
    • Harmonic bundles on noncompact curves
    • [28] C. SIMPSON, Harmonic bundles on noncompact curves (J. Amer. Math. Soc., vol. 3, 1990, p. 713-770).
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 713-770
    • Simpson, C.1
  • 29
    • 51649132477 scopus 로고
    • Higgs bundles and local systems
    • [29] C. SIMPSON, Higgs bundles and local systems (Publ. Math. I.H.E.S., vol. 75, 1992, p. 5-95).
    • (1992) Publ. Math. I.H.E.S. , vol.75 , pp. 5-95
    • Simpson, C.1
  • 30
    • 84990564772 scopus 로고
    • On the existence of Hermitian-Yang-Mills connections in stable vector bundles
    • [30] K. UHLENBECK et S. T. YAU, On the existence of Hermitian-Yang-Mills connections in stable vector bundles (Commun. Pure Appl. Math., vol. 39S, 1986, p. 257-293).
    • (1986) Commun. Pure Appl. Math. , vol.39 S , pp. 257-293
    • Uhlenbeck, K.1    Yau, S.T.2
  • 31
    • 84990563969 scopus 로고
    • A note on our previous paper: On the existence of Hermitian-Yang-Mills connections in stable vector bundles
    • [31] K. UHLENBECK et S. T. YAU, A note on our previous paper: on the existence of Hermitian-Yang-Mills connections in stable vector bundles (Commun. Pure Appl. Math., vol. 42, 1989, p. 703-707).
    • (1989) Commun. Pure Appl. Math. , vol.42 , pp. 703-707
    • Uhlenbeck, K.1    Yau, S.T.2
  • 32
    • 0001284927 scopus 로고
    • 2 cohomology in the Poincaré metric
    • 2 cohomology in the Poincaré metric (Ann. Math., (2) 109, 1979, p. 415-476).
    • (1979) Ann. Math. , vol.109 , Issue.2 , pp. 415-476
    • Zucker, S.1


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