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Volumn , Issue 50, 2003, Pages 2687-2698

The Brauer Group of Analytic K3 Surfaces

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EID: 0347588523     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792803131637     Document Type: Article
Times cited : (27)

References (21)
  • 1
    • 84972540534 scopus 로고
    • Variétés Kähleriennes dont la première classe de Chern est nulle
    • French
    • A. Beauville, Variétés Kähleriennes dont la première classe de Chern est nulle [Kahler manifolds whose first Chern class is zero], J. Differential Geom. 18 (1983), no. 4, 755-782 (French).
    • (1983) J. Differential Geom. , vol.18 , Issue.4 , pp. 755-782
    • Beauville, A.1
  • 2
    • 50949130277 scopus 로고
    • Géométrie des Surfaces K3: Modules et Périodes
    • Société Mathématique de France, Paris (French)
    • A. Beauville, J.-P. Bourguignon, and M. Demazure (eds.), Géométrie des Surfaces K3: Modules et Périodes [Geometry of K3 Surfaces: Moduli and Periods], Astérisque, no. 126, Société Mathématique de France, Paris, 1985 (French).
    • (1985) Astérisque , Issue.126
    • Beauville, A.1    Bourguignon, J.-P.2    Demazure, M.3
  • 3
    • 34250457713 scopus 로고
    • The Brauer group of abelian varieties
    • Russian
    • V. G. Berkovič, The Brauer group ofabelian varieties, Funkcional. Anal. i Priložen. 6 (1972), no. 3, 10-15 (Russian).
    • (1972) Funkcional. Anal. i Priložen. , vol.6 , Issue.3 , pp. 10-15
    • Berkovič, V.G.1
  • 4
    • 85017289510 scopus 로고
    • 2-Cocycles and Azumaya algebras under birational transformations of algebraic schemes
    • F. A. Bogomolov and A. N. Landia, 2-cocycles and Azumaya algebras under birational transformations of algebraic schemes, Compositio Math. 76 (1990), no. 1-2, 1-5.
    • (1990) Compositio Math. , vol.76 , Issue.1-2 , pp. 1-5
    • Bogomolov, F.A.1    Landia, A.N.2
  • 6
    • 0000944263 scopus 로고
    • On the Brauer group of toric varieties
    • F. R. DeMeyer and T. J. Ford, On the Brauer group of toric varieties, Trans. Amer. Math. Soc. 335 (1993), no. 2, 559-577.
    • (1993) Trans. Amer. Math. Soc. , vol.335 , Issue.2 , pp. 559-577
    • DeMeyer, F.R.1    Ford, T.J.2
  • 7
    • 84959800477 scopus 로고
    • Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles
    • S. K. Donaldson, Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. (3) 50 (1985), no. 1, 1-26.
    • (1985) Proc. London Math. Soc. (3) , vol.50 , Issue.1 , pp. 1-26
    • Donaldson, S.K.1
  • 9
    • 0003184392 scopus 로고
    • Some theorems on Azumaya algebras
    • The Brauer Group (Sem., Les Plans-Sur-Bex, 1980) (M. Kervaire and M. Ojanguren, eds.) Springer, Berlin
    • O. Gabber, Some theorems on Azumaya algebras, The Brauer Group (Sem., Les Plans-Sur-Bex, 1980) (M. Kervaire and M. Ojanguren, eds.), Lecture Notes in Math., vol. 844, Springer, Berlin, 1981, pp. 129-209.
    • (1981) Lecture Notes in Math. , vol.844 , pp. 129-209
    • Gabber, O.1
  • 10
    • 0002866605 scopus 로고
    • Le groupe de Brauer. I. Algèbres d'Azumaya et Interprétations Diverses
    • J. Giraud et al., eds, North-Holland Publishing, Amsterdam (French)
    • A. Grothendieck, Le groupe de Brauer. I. Algèbres d'Azumaya et Interprétations Diverses, Dix Exposés sur la Cohomologie des Schémas (J. Giraud et al., eds), North-Holland Publishing, Amsterdam, 1968, pp. 46-66 (French).
    • (1968) Dix Exposés sur la Cohomologie des Schémas , pp. 46-66
    • Grothendieck, A.1
  • 11
    • 0002866605 scopus 로고
    • Le groupe de Brauer, II. Théorie Cohomologique
    • North-Holland Publishing, Amsterdam (French)
    • _, Le groupe de Brauer, II. Théorie Cohomologique, Dix Exposés sur la Cohomologie des Schémas (J. Giraud et al., eds), North-Holland Publishing, Amsterdam, 1968, pp. 67-87 (French).
    • (1968) Dix Exposés sur la Cohomologie des Schémas , pp. 67-87
    • Giraud, J.1
  • 12
    • 0002866605 scopus 로고
    • Le groupe de Brauer. III. Exemples et Compléments
    • North-Holland Publishing, Amsterdam (French)
    • _, Le groupe de Brauer. III. Exemples et Compléments, Dix Exposés sur la Cohomologie des Schémas (J. Giraud et al., eds), North-Holland Publishing, Amsterdam, 1968, pp. 88-188 (French).
    • (1968) Dix Exposés sur la Cohomologie des Schémas , pp. 88-188
    • Giraud, J.1
  • 14
    • 84972527011 scopus 로고
    • A cohomological interpretation of Brauer groups of rings
    • _, A cohomological interpretation of Brauer groups of rings, Pacific J. Math. 86 (1980), no. 1, 89-92.
    • (1980) Pacific J. Math. , vol.86 , Issue.1 , pp. 89-92
  • 15
    • 0032608041 scopus 로고    scopus 로고
    • Compact hyper-Kähler manifolds: Basic results
    • D. Huybrechts, Compact hyper-Kähler manifolds: basic results, Invent. Math. 135 (1999), no. 1, 63-113.
    • (1999) Invent. Math. , vol.135 , Issue.1 , pp. 63-113
    • Huybrechts, D.1
  • 16
    • 0037596448 scopus 로고    scopus 로고
    • Erratum: "Compact hyper-kähler manifolds: Basic results"
    • _, Erratum: "Compact hyper-kähler manifolds: basic results", Invent. Math. 152 (2003), no. 1, 209-212.
    • (2003) Invent. Math. , vol.152 , Issue.1 , pp. 209-212
  • 17
    • 0003221353 scopus 로고    scopus 로고
    • The Geometry of Moduli Spaces of Sheaves
    • Friedrich Vieweg & Sohn, Braunschweig
    • D. Huybrechts and M. Lehn, The Geometry of Moduli Spaces of Sheaves, Aspects of Mathematics, vol. E31, Friedrich Vieweg & Sohn, Braunschweig, 1997.
    • (1997) Aspects of Mathematics , vol.E31
    • Huybrechts, D.1    Lehn, M.2
  • 18
    • 0035632980 scopus 로고    scopus 로고
    • There are enough Azumaya algebras on surfaces
    • S. Schröer, There are enough Azumaya algebras on surfaces, Math. Ann. 321 (2001), no. 2, 439-454.
    • (2001) Math. Ann. , vol.321 , Issue.2 , pp. 439-454
    • Schröer, S.1
  • 19
    • 0000713807 scopus 로고
    • Every K3 surface is Kähler
    • Y.-T. Siu, Every K3 surface is Kähler, Invent. Math. 73 (1983), no. 1, 139-150.
    • (1983) Invent. Math. , vol.73 , Issue.1 , pp. 139-150
    • Siu, Y.-T.1
  • 20
    • 0010967216 scopus 로고    scopus 로고
    • Hyperholomorphic bundles over a hyper-Kähler manifold
    • M. Verbitsky, Hyperholomorphic bundles over a hyper-Kähler manifold, J. Algebraic Geom. 5 (1996), no. 4, 633-669.
    • (1996) J. Algebraic Geom. , vol.5 , Issue.4 , pp. 633-669
    • Verbitsky, M.1
  • 21
    • 84980156699 scopus 로고
    • On the Ricci curvature of a compact Kähler manifold and the complex Mange-Ampère equation. I
    • S.-T. Yau, On the Ricci curvature of a compact Kähler manifold and the complex Mange-Ampère equation. I, Comm. Pure Appl. Math. 31 (1978), no. 3, 339-411.
    • (1978) Comm. Pure Appl. Math. , vol.31 , Issue.3 , pp. 339-411
    • Yau, S.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.