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Volumn 49, Issue 3, 1998, Pages 577-599

Geometric criterion for gieseker-mumford stability of polarized manifolds

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EID: 0009913198     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214461111     Document Type: Article
Times cited : (66)

References (26)
  • 1
    • 34250127531 scopus 로고
    • The analysis of elliptic families 1, metrics and connections on determinant line bundles
    • J. Bismut & D. Freed, The analysis of elliptic families 1, metrics and connections on determinant line bundles, Comm. Math. Phy. 106 (1986) 159-176.
    • (1986) Comm. Math. Phy , vol.106 , pp. 159-176
    • Bismut, J.1    Freed, D.2
  • 2
    • 34250085806 scopus 로고
    • Analytic torsion and holomorphic determinant line bundles, 1,2,3
    • J. Bismut, H. Gillet & C. Soule, Analytic torsion and holomorphic determinant line bundles, 1,2,3, Comm. Math. Phys. 115 (1988) 49-78, 79-126, 301-351.
    • (1988) Comm. Math. Phys. , vol.115
    • Bismut, J.1    Gillet, H.2    Soule, C.3
  • 4
    • 84959800477 scopus 로고
    • Anti self dual Yang-Mills connections on complex algebraic surfaces and stable vector bundles
    • S. Donaldson, Anti self dual Yang-Mills connections on complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. 3 (1985) 1-26.
    • (1985) Proc. London Math. Soc , vol.3 , pp. 1-26
    • Donaldson, S.1
  • 5
    • 84972555858 scopus 로고
    • Infinite determinants, stable bundles and curvature
    • S. Donaldson, Infinite determinants, stable bundles and curvature, Duke Math. J. 3 (1987) 231-247.
    • (1987) Duke Math. J , vol.3 , pp. 231-247
    • Donaldson, S.1
  • 6
    • 0003314349 scopus 로고
    • Intersection theory
    • Springer, Berlin
    • W. Fulton, Intersection theory, Ergeb. Math. Grenzgeb. (3), Springer, Berlin, Vol. 2, 1984.
    • (1984) Ergeb. Math. Grenzgeb. (3) , vol.2
    • Fulton, W.1
  • 7
    • 0003073957 scopus 로고
    • Global moduli for surfaces of general type
    • D. Gieseker, Global moduli for surfaces of general type, Invent. Math. 43 (1977) 233-282.
    • (1977) Invent. Math , vol.43 , pp. 233-282
    • Gieseker, D.1
  • 9
    • 0009072969 scopus 로고
    • The self-dual equations on a Riemann surface
    • N. Hitchin, The self-dual equations on a Riemann surface, Proc. London Math. Soc. (3) 55 (1987) 59-126.
    • (1987) Proc. London Math. Soc. (3) , vol.55 , pp. 59-126
    • Hitchin, N.1
  • 10
  • 11
    • 84972537312 scopus 로고
    • Projectivity of complete moduli
    • J. Kollár, Projectivity of complete moduli, J. Differential Geom. 32 (1990) 235-268.
    • (1990) J. Differential Geom , vol.32 , pp. 235-268
    • Kollár, J.1
  • 13
    • 0003260206 scopus 로고    scopus 로고
    • Geometric invariant theory
    • 2nd enlarged ed., 1965, D. Mumford & J. Fogarty, Springer, Berlin
    • D. Mumford, Geometric invariant theory, 2nd enlarged ed., 1965, D. Mumford & J. Fogarty, Ergeb. Math. Grenzgeb. (3), Springer, Berlin, Vol. 34, 1982.
    • Ergeb. Math. Grenzgeb. (3) , vol.34 , pp. 1982
    • Mumford, D.1
  • 14
    • 0001690431 scopus 로고
    • Stable and unitary bundles on a compact Riemann surface
    • Narashimhan, Seshadri, Stable and unitary bundles on a compact Riemann surface, Ann. Of Math. (2) 82 (1965) 540-564.
    • (1965) Ann. Of Math. (2) , vol.82 , pp. 540-564
    • Narashimhan, S.1
  • 15
    • 0000554307 scopus 로고
    • A Torelli theorem for algebraic surfaces of type K-3
    • I. I. Pjatetskij-Sapiro & I. R. Safarevich, A Torelli theorem for algebraic surfaces of type K-3, Math. USSR Izv. 5 (1971) 547-588.
    • (1971) Math. USSR Izv. , vol.5 , pp. 547-588
    • Pjatetskij-Sapiro, I.I.1    Safarevich, I.R.2
  • 16
    • 0346855375 scopus 로고
    • A Torelli theorem for algebraic surfaces of type K-3
    • I. I. Pjatetskij-Sapiro & I. R. Safarevich, A Torelli theorem for algebraic surfaces of type K-3, Math. USSR Izv. 31 (1978) 229-441.
    • (1978) Math. USSR Izv. , vol.31 , pp. 229-441
    • Pjatetskij-Sapiro, I.I.1    Safarevich, I.R.2
  • 17
    • 0000815498 scopus 로고
    • Ana, lytic torsion for complex manifolds
    • D. B. Ray & I. M. Singer, Ana, lytic torsion for complex manifolds, Ann. Of Math. 98 (1973) 154-177.
    • (1973) Ann. Of Math. , vol.98 , pp. 154-177
    • Ray, D.B.1    Singer, I.M.2
  • 18
    • 84968486257 scopus 로고
    • Constructing variation of Hodge structures using Yang-Mills connections and applications to uniformization
    • C. Simpson, Constructing variation of Hodge structures using Yang-Mills connections and applications to uniformization, J. Amer. Math. Soc. 1 (1988) 867-918.
    • (1988) J. Amer. Math. Soc , vol.1 , pp. 867-918
    • Simpson, C.1
  • 19
    • 0000780873 scopus 로고
    • The K-energy on hypersurfaces and stability
    • G. Tian, The K-energy on hypersurfaces and stability, Comm. Anal. Geom. 2 (1994) 239-265.
    • (1994) Comm. Anal. Geom , vol.2 , pp. 239-265
    • Tian, G.1
  • 20
    • 0038967641 scopus 로고    scopus 로고
    • Kähler-Einstein metrics with positive scalar curvature
    • G. Tian, Kähler-Einstein metrics with positive scalar curvature, Invent. Math. 130 (1997) 1-37.
    • (1997) Invent. Math. , vol.130 , pp. 1-37
    • Tian, G.1
  • 21
    • 84990564772 scopus 로고
    • On the existence of Hermitian-Yang-Mills connections on stable bundles over complex Kahler manifolds
    • K. Uhlenbeck & S. T. Yau, On the existence of Hermitian-Yang-Mills connections on stable bundles over complex Kahler manifolds, Comm. Pure. Appl. Math. 39 (1986) 257-293
    • (1986) Comm. Pure. Appl. Math , vol.39 , pp. 257-293
    • Uhlenbeck, K.1    Yau, S.T.2
  • 22
    • 34249964674 scopus 로고
    • Weak positivity and stability of certain Hilbert points
    • E. Viehweg, Weak positivity and stability of certain Hilbert points, Invent. Math. Part 1, 96 (1989) 639-667;
    • (1989) Invent. Math. , vol.96 , pp. 639-667
    • Viehweg, E.1
  • 23
    • 0142163533 scopus 로고
    • Weak positivity and stability of certain Hilbert points
    • E. Viehweg, Weak positivity and stability of certain Hilbert points, Invent. Math. Part 2, 101 (1990) 191-223;
    • (1990) Invent. Math. , vol.101 , pp. 191-223
    • Viehweg, E.1
  • 24
    • 0038622636 scopus 로고
    • Weak positivity and stability of certain Hilbert points
    • E. Viehweg, Weak positivity and stability of certain Hilbert points, Invent. Math. Part 3, 101 (1990) 521-543.
    • (1990) Invent. Math. , vol.101 , pp. 521-543
    • Viehweg, E.1
  • 25
    • 0003332511 scopus 로고
    • Quasi-projective moduli for polarized manifolds
    • Springer, Berlin
    • E. Viehweg, Quasi-projective moduli for polarized manifolds, Ergeb. Math. Grenzgeb. (3), Springer, Berlin, Vol. 30, 1995.
    • (1995) Ergeb. Math. Grenzgeb. (3) , vol.30
    • Viehweg, E.1
  • 26
    • 84980156699 scopus 로고
    • On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampere equation. I
    • S. T. Yau, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampere equation. I, Comm. Pure. Appl. Math. 31 (1978) 229-441.
    • (1978) Comm. Pure. Appl. Math , vol.31 , pp. 229-441
    • Yau, S.T.1


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