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Les fibres de rang deux sur \(P_ 2\) et leurs sections. (French) Zbl 0455.14007


MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14C20 Divisors, linear systems, invertible sheaves
14F25 Classical real and complex (co)homology in algebraic geometry
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References:

[1] BARTH (W.) . - Moduli of vector bundles on the projective plane , Invent. Math., vol. 42, 1977 , p. 63-91. MR 57 #324 | Zbl 0386.14005 · Zbl 0386.14005 · doi:10.1007/BF01389784
[2] GRAUERT (H.) und MULICH (G.) . - Vektorbündel Vom Rang 2 über dem n-dimensionalen komplex-projectiver Raum , Manu scripta Math., vol. 16, 1975 , p. 75-100. MR 52 #3163 | Zbl 0318.32027 · Zbl 0318.32027 · doi:10.1007/BF01169064
[3] GRIFFITHS (P.) and HARRIS (J.) . - Residues and zero-cycles on algebraic varieties , Ann. math., vol. 108, 1978 , p. 461-505. MR 80d:14006 | Zbl 0423.14001 · Zbl 0423.14001 · doi:10.2307/1971184
[4] HARTSHORNE (R.) . - Algebraic Geometry , Springer Verlag, 1977 . MR 57 #3116 | Zbl 0367.14001 · Zbl 0367.14001
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[6] MARUYAMA (M.) . - Moduli of stable sheaves II , J. Math. Kyoto Univ., vol. 18, 1978 , p. 557-614. Article | MR 82h:14011 | Zbl 0395.14006 · Zbl 0395.14006
[7] ODA (T.) . - Vector bundles on abelian surfaces , Invent. Math., vol. 13, 1971 , p. 247-260. MR 47 #6701 | Zbl 0216.05903 · Zbl 0216.05903 · doi:10.1007/BF01404634
[8] SCHWARZENBERGER (R.) . - Vector bundles on algebraic surfaces , Proc. London Math. Soc., vol. 11, 1961 , p. 601-622. MR 25 #1160 | Zbl 0212.26003 · Zbl 0212.26003 · doi:10.1112/plms/s3-11.1.601
[9] TAKEMOTO (F.) . - Stable vector bundles on algebraic surfaces , Nagoya Math. J., vol. 47, 1972 , p. 29-48. Article | MR 49 #2735 | Zbl 0245.14007 · Zbl 0245.14007
[10] ELENOWAJG (G.) and FORSTER (O.) . - Bounding cohomology groups of vector bundles on Pn , Math. Ann., vol. 246, 1980 , p. 251-270. Zbl 0432.14011 · Zbl 0432.14011 · doi:10.1007/BF01371047
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