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Volumn 5, Issue 4, 1997, Pages 625-684

The first two Betti numbers of the moduli spaces of vector bundles on surfaces

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EID: 0000654061     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/cag.1997.v5.n4.a2     Document Type: Article
Times cited : (12)

References (30)
  • 1
    • 84956239775 scopus 로고
    • On deformation of sheaves
    • I. V. Artamkin, On deformation of sheaves, Math. USSR, Izv. 32 (no. 3) (1989), 663-668.
    • (1989) Math. USSR, Izv. , vol.32 , Issue.3 , pp. 663-668
    • Artamkin, I.V.1
  • 2
    • 51249188133 scopus 로고
    • Algebraic approximation of structures over complete local rings
    • M. Artin, Algebraic approximation of structures over complete local rings, Publ. Math. IHES. 36 (1969), 23-58.
    • (1969) Publ. Math. IHES , vol.36 , pp. 23-58
    • Artin, M.1
  • 3
    • 0002592719 scopus 로고
    • Topological aspects of Yang-Mills theory
    • M.F. Atiyah and J.D. Jones, Topological aspects of Yang-Mills theory, Comm. Math. Phy. 61 (1978), 97-118.
    • (1978) Comm. Math. Phy. , vol.61 , pp. 97-118
    • Atiyah, M.F.1    Jones, J.D.2
  • 5
    • 0001682214 scopus 로고
    • The topology of instanton moduli spaces. I: The Atiyah-Jones conjecture
    • C.P. Boyer, J.C. Hurtubise, B.M. Mann and R.J. Milgram, The topology of instanton moduli spaces. I: The Atiyah-Jones conjecture, Ann of Math. 137 (1993), 561-609.
    • (1993) Ann of Math. , vol.137 , pp. 561-609
    • Boyer, C.P.1    Hurtubise, J.C.2    Mann, B.M.3    Milgram, R.J.4
  • 6
    • 28744452988 scopus 로고
    • Polynomial invariants for smooth four-manifolds
    • S.K. Donaldson, Polynomial invariants for smooth four-manifolds, Topology, 29 (No. 3) (1986), 257-315.
    • (1986) Topology , vol.29 , Issue.3 , pp. 257-315
    • Donaldson, S.K.1
  • 8
    • 0041197157 scopus 로고
    • Group de Picard des varietes de modules de fibres semi-stables sur les coubes algebriques
    • J.M. Drezet and S. Narasimhan, Group de Picard des varietes de modules de fibres semi-stables sur les coubes algebriques. Invent. Math. 97 (1989), 53-94.
    • (1989) Invent. Math. , vol.97 , pp. 53-94
    • Drezet, J.M.1    Narasimhan, S.2
  • 12
    • 0002976018 scopus 로고
    • Irreducibility of moduli of rank two vector bundles
    • E
    • D. Gieseker and J. Li, E, Irreducibility of moduli of rank two vector bundles, J. Diff. Geom. 40 (1994), 23-104.
    • (1994) J. Diff. Geom. , vol.40 , pp. 23-104
    • Gieseker, D.1    Li, J.2
  • 17
    • 0001876888 scopus 로고
    • Some applications of the theory of positive vector bundles
    • R. Lazarsfeld, Some applications of the theory of positive vector bundles, Lecture Notes in Mathematics 1092 (1984), 29-61.
    • (1984) Lecture Notes in Mathematics , vol.1092 , pp. 29-61
    • Lazarsfeld, R.1
  • 18
    • 84972536319 scopus 로고
    • Algebraic geometric interpretation of Donaldson's polynomial invariants
    • J. Li, Algebraic geometric interpretation of Donaldson's polynomial invariants, J. of Diff. Geometry, 37 (1993), 417-466.
    • (1993) J. of Diff. Geometry , vol.37 , pp. 417-466
    • Li, J.1
  • 19
    • 0001768983 scopus 로고
    • Kodaira dimension of moduli space of vector bundles on surfaces
    • J. Li, Kodaira dimension of moduli space of vector bundles on surfaces, Invent. Math. 115 (1994), 1-40.
    • (1994) Invent. Math. , vol.115 , pp. 1-40
    • Li, J.1
  • 20
    • 0348157729 scopus 로고    scopus 로고
    • The Picard group of moduli space of stable sheaves over algebraic surfaces
    • to appear in
    • J. Li, The Picard group of moduli space of stable sheaves over algebraic surfaces, to appear in Taniguchi Symposium on Mathematics.
    • Taniguchi Symposium on Mathematics
    • Li, J.1
  • 21
    • 0000370638 scopus 로고
    • Moduli of stable sheaves, II
    • M. Maruyama, Moduli of stable sheaves, II, J. Math. Kyoto Univ. 18-3 (1978), 557-614.
    • (1978) J. Math. Kyoto Univ. , vol.18 , Issue.3 , pp. 557-614
    • Maruyama, M.1
  • 23
    • 0000762239 scopus 로고
    • The irreducible components of moduli spaces of vector bundles on surfaces
    • K. O'Grady, The irreducible components of moduli spaces of vector bundles on surfaces, Invent. Math. 112 (1993), 586-613.
    • (1993) Invent. Math. , vol.112 , pp. 586-613
    • O'Grady, K.1
  • 24
    • 0030528403 scopus 로고    scopus 로고
    • Moduli of vector bundles on protective surfaces: Some basic results
    • K. O'Grady, Moduli of vector bundles on protective surfaces: some basic results, Invent. Math. 123 (no. 1) (1996), 141-207.
    • (1996) Invent. Math. , vol.123 , Issue.1 , pp. 141-207
    • O'Grady, K.1
  • 25
    • 51249171697 scopus 로고
    • Birational properties of moduli spaces of stable locally free rank-2 sheaves on algebraic surfaces
    • Z. Qin, Birational properties of moduli spaces of stable locally free rank-2 sheaves on algebraic surfaces, Manuscripta Math. 72 (1991), 163-180.
    • (1991) Manuscripta Math. , vol.72 , pp. 163-180
    • Qin, Z.1
  • 26
    • 84972496576 scopus 로고
    • The stable topology of self-dual moduli spaces
    • C. Taubes, The stable topology of self-dual moduli spaces, J. Diff. Geom. 19 (1984), 337-392.
    • (1984) J. Diff. Geom. , vol.19 , pp. 337-392
    • Taubes, C.1
  • 27
    • 0001150746 scopus 로고
    • The based SU(n)-instanton moduli spaces
    • Y-L. Tian, The based SU(n)-instanton moduli spaces, Math. Ann. 298 (1994), 117-139.
    • (1994) Math. Ann. , vol.298 , pp. 117-139
    • Tian, Y.-L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.