Sections des fibrés vectoriels sur une courbe

Michel Raynaud

Bulletin de la Société Mathématique de France (1982)

  • Volume: 110, page 103-125
  • ISSN: 0037-9484

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Raynaud, Michel. "Sections des fibrés vectoriels sur une courbe." Bulletin de la Société Mathématique de France 110 (1982): 103-125. <http://eudml.org/doc/87408>.

@article{Raynaud1982,
author = {Raynaud, Michel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {semi-stable vector bundle; jacobian variety; p-torsion; Frobenious morphism; node; genus; algebraic vector bundle on algebraic curve; line bundle of degree 0; first homotopy group},
language = {fre},
pages = {103-125},
publisher = {Société mathématique de France},
title = {Sections des fibrés vectoriels sur une courbe},
url = {http://eudml.org/doc/87408},
volume = {110},
year = {1982},
}

TY - JOUR
AU - Raynaud, Michel
TI - Sections des fibrés vectoriels sur une courbe
JO - Bulletin de la Société Mathématique de France
PY - 1982
PB - Société mathématique de France
VL - 110
SP - 103
EP - 125
LA - fre
KW - semi-stable vector bundle; jacobian variety; p-torsion; Frobenious morphism; node; genus; algebraic vector bundle on algebraic curve; line bundle of degree 0; first homotopy group
UR - http://eudml.org/doc/87408
ER -

References

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  1. [1] ATIYAH (M. F.). — Vector bundles over an elliptic curve, Proc. London Math. Soc., t. 7, 1957. Zbl0084.17305MR24 #A1274
  2. [2] DIGNE (F.). — Sections des fibrés vectoriels sur une courbe, Bull. Soc. Math. France, t. 102, 1974. Zbl0294.14014MR50 #13034
  3. [3] GIESECKER (D.). — Stable vector bundles and the Frobenius morphism, Notes I.H.E.S., 1972. 
  4. [4] HARDER (G.) et NARASIMHAN (M. S.). — On the cohomology groups of moduli spaces of vector bundles on curves, Math. Annalen, vol. 212, 1975. Zbl0324.14006MR51 #509
  5. [5] MUKAI (S). — Duality between D (X) and D (X) with its application to Picard sheaves (à paraître au Journal de Nagoya). Zbl0417.14036
  6. [6] MUMFORD (D.). — An analytic construction of degenerating curves over a complete local rings, Compositio Math., vol. 24, 1972. Zbl0228.14011MR50 #4592
  7. [7] NARASIMHAN (M. S.) et SESHARDI (C. S.). — Holomorphic vector bundles on a compact Riemann surface, Math. Ann., vol. 155, 1964. Zbl0122.16701MR29 #4072
  8. [8] RAYNAUD (M.). — Schémas en groupes de type (p, ..., p), Bull. Soc. Math. France, t. 102, 1974. Zbl0325.14020MR54 #7488
  9. [9] SAFAREVIC (I.). — On p-Extensions, A.M.S. translations, séries 2, vol. 4, 1956. Zbl0071.03302
  10. [10] SESHARDI (C. S.). — Space of unitary vector bundles on a compact Riemann surface, Ann. of Maths., vol. 85 1967. Zbl0173.23001MR38 #1693

Citations in EuDML Documents

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  1. Olivier Schneider, Stabilité des fibrés Λ p E L et condition de Raynaud
  2. Vikram B. Mehta, Christian Pauly, Semistability of Frobenius direct images over curves
  3. Olivier Schneider, Sur la dimension de l’ensemble des points base du fibré déterminant sur 𝒮𝒰 C ( r )
  4. Edoardo Ballico, Paolo Oliverio, Nodal curves in ℙ 3 ⁢ ( ℂ )
  5. Edoardo Ballico, Paolo Oliverio, Nodal curves in ℙ 3 ⁢ ( ℂ )
  6. Alexander Kuznetsov, Instanton bundles on Fano threefolds
  7. Jean-Pierre Serre, Revêtements de courbes algébriques
  8. Laurent Ducrohet, The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic
  9. Edoardo Ballico, Vanishing of sections of vector bundles on 0-dimensional schemes
  10. Arnaud Beauville, Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta

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