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Sections des fibres vectoriels sur une courbe. (French) Zbl 0505.14011


MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14H40 Jacobians, Prym varieties
14K30 Picard schemes, higher Jacobians
14F35 Homotopy theory and fundamental groups in algebraic geometry
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References:

[1] ATIYAH (M. F.) . - Vector bundles over an elliptic curve , Proc. London Math. Soc., t. 7, 1957 . MR 24 #A1274 | Zbl 0084.17305 · Zbl 0084.17305 · doi:10.1112/plms/s3-7.1.414
[2] DIGNE (F.) . - Sections des fibrés vectoriels sur une courbe , Bull. Soc. Math. France, t. 102, 1974 . Numdam | MR 50 #13034 | Zbl 0294.14014 · Zbl 0294.14014
[3] GIESECKER (D.) . - Stable vector bundles and the Frobenius morphism , Notes I.H.E.S., 1972 .
[4] HARDER (G.) et NARASIMHAN (M. S.) . - On the cohomology groups of moduli spaces of vector bundles on curves , Math. Annalen, vol. 212, 1975 . MR 51 #509 | Zbl 0324.14006 · Zbl 0324.14006 · doi:10.1007/BF01357141
[5] MUKAI (S) . - Duality between D (X) and D (X) with its application to Picard sheaves (à paraître au Journal de Nagoya). Article | Zbl 0417.14036 · Zbl 0417.14036
[6] MUMFORD (D.) . - An analytic construction of degenerating curves over a complete local rings , Compositio Math., vol. 24, 1972 . Numdam | MR 50 #4592 | Zbl 0228.14011 · Zbl 0228.14011
[7] NARASIMHAN (M. S.) et SESHARDI (C. S.) . - Holomorphic vector bundles on a compact Riemann surface , Math. Ann., vol. 155, 1964 . MR 29 #4072 | Zbl 0122.16701 · Zbl 0122.16701 · doi:10.1007/BF01350891
[8] RAYNAUD (M.) . - Schémas en groupes de type (p, ..., p) , Bull. Soc. Math. France, t. 102, 1974 . Numdam | MR 54 #7488 | Zbl 0325.14020 · Zbl 0325.14020
[9] SAFAREVIC (I.) . - On p-Extensions , A.M.S. translations, séries 2, vol. 4, 1956 . Zbl 0071.03302 · Zbl 0071.03302
[10] SESHARDI (C. S.) . - Space of unitary vector bundles on a compact Riemann surface , Ann. of Maths., vol. 85 1967 . MR 38 #1693 | Zbl 0173.23001 · Zbl 0173.23001 · doi:10.2307/1970444
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