Fibrés de Schwarzenberger et coniques de droites sauteuses

Jean Vallès

Bulletin de la Société Mathématique de France (2000)

  • Volume: 128, Issue: 3, page 433-449
  • ISSN: 0037-9484

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Vallès, Jean. "Fibrés de Schwarzenberger et coniques de droites sauteuses." Bulletin de la Société Mathématique de France 128.3 (2000): 433-449. <http://eudml.org/doc/87834>.

@article{Vallès2000,
author = {Vallès, Jean},
journal = {Bulletin de la Société Mathématique de France},
keywords = {stable vector bundles; jumping line; Poncelet curve; first Chern class; Schwarzenberger bundle},
language = {fre},
number = {3},
pages = {433-449},
publisher = {Société mathématique de France},
title = {Fibrés de Schwarzenberger et coniques de droites sauteuses},
url = {http://eudml.org/doc/87834},
volume = {128},
year = {2000},
}

TY - JOUR
AU - Vallès, Jean
TI - Fibrés de Schwarzenberger et coniques de droites sauteuses
JO - Bulletin de la Société Mathématique de France
PY - 2000
PB - Société mathématique de France
VL - 128
IS - 3
SP - 433
EP - 449
LA - fre
KW - stable vector bundles; jumping line; Poncelet curve; first Chern class; Schwarzenberger bundle
UR - http://eudml.org/doc/87834
ER -

References

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  1. [Ba1] BARTH (W.). — Some properties of stable rank-2 vector bundles on Pn, Math. Ann., t. 226, 1977, p. 125-150. Zbl0332.32021MR55 #2905
  2. [Ba2] BARTH (W.). — Moduli of vector bundles on the projective plane, Inv. Math., t. 42, 1977, p. 63-91. Zbl0386.14005MR57 #324
  3. [BS] BOREL (A.), SERRE (J.-P.). — Le théorème de Riemann Roch, Bull. Soc. Math. France, t. 86, 1958, p. 97-126. Zbl0091.33004MR22 #6817
  4. [Co] COANDA (I.). — Restriction theorems, J. reine angew. Math., t. 487, 1997, p. 1-25. Zbl0893.14002MR99c:14055
  5. [GP] GRUSON (L.), PESKINE (C.). — Courbes de l'espace projectif, variétés de sécantes, Enumerative geometry, Progress in Math., t. 24, 1982, p. 1-33. Zbl0531.14020MR84m:14061
  6. [Ha1] HARTSHORNE (R.). — Algebraic Geometry. — Graduate texts in Mathematics, Springer-Verlag, 1977. Zbl0367.14001MR57 #3116
  7. [Ha2] HARTSHORNE (R.). — Stable reflexive sheaves, Math. Ann., t. 254, 1980, p. 121-176. Zbl0431.14004MR82b:14011
  8. [Hu] HULEK (K.). — Stable rank-2 vector bundles on P2 with c1 odd, Math. Ann., t. 264, 1979, p. 241-266. Zbl0387.32010MR80m:14011
  9. [LP1] LE POTIER (J.). — Faisceaux semi-stables et systèmes cohérents, Vector bundles in Algebraic geometry, Cambridge University Press 1995, p. 179-239. Zbl0847.14005MR96h:14010
  10. [LP2] LE POTIER (J.). — Fibré déterminant et courbes de saut sur les surfaces algébriques, London Math. Soc., Lecture Notes Series, t. 179, 1992, p. 213-240. Zbl0788.14045MR94e:14058
  11. [LT] LE POTIER (J.), TIKHOMIROV (A.). — Sur le morphisme de Barth, Preprint 2000, (alg-geom/0003016). 
  12. [Ma] MARUYAMA (M.). — Singularities of the curve of jumping lines of a vector bundle of rank-2 on P2, Algebraic Geometry, Proc. of Japan-France Conference (1982), Lectures Notes in Mathematics, t. 1016, 1983, p. 370-411. Zbl0529.14010
  13. [Sch1] SCHWARZENBERGER (R.L.E.). — Vector bundles on the projective plane, Proc. London Math. Soc., t. 11, 1961, p. 623-640. Zbl0212.26004MR25 #1161
  14. [Sch2] SCHWARZENBERGER (R.L.E.). — Reducible Vector bundles on a quadric hypersurface, Proc. Cambridge Philos. Soc., t. 58, 1962, p. 209-216. Zbl0219.14010MR25 #2611
  15. [Tr] TRAUTMANN (K.). — Poncelet curves and associated theta characteristics, Expo. Math., t. 6, 1988, p. 29-64. Zbl0646.14025MR89c:14047

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