Fibrés uniformes de rang 5 sur ℙ 3

Edoardo Ballico; Ph. Ellia

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 59-87
  • ISSN: 0037-9484

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Ballico, Edoardo, and Ellia, Ph.. "Fibrés uniformes de rang 5 sur ${\mathbb {P}}^3$." Bulletin de la Société Mathématique de France 111 (1983): 59-87. <http://eudml.org/doc/87454>.

@article{Ballico1983,
author = {Ballico, Edoardo, Ellia, Ph.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {splitting type; tangent bundle; classification of rank-5 uniform vector bundles on projective 3-space; Harder-Narasimhan filtration; Chern classes},
language = {fre},
pages = {59-87},
publisher = {Société mathématique de France},
title = {Fibrés uniformes de rang 5 sur $\{\mathbb \{P\}\}^3$},
url = {http://eudml.org/doc/87454},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Ballico, Edoardo
AU - Ellia, Ph.
TI - Fibrés uniformes de rang 5 sur ${\mathbb {P}}^3$
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 59
EP - 87
LA - fre
KW - splitting type; tangent bundle; classification of rank-5 uniform vector bundles on projective 3-space; Harder-Narasimhan filtration; Chern classes
UR - http://eudml.org/doc/87454
ER -

References

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  1. [Ba-Ell] BALLICO (E.) et ELLIA (P.). — Fibrés homogènes sur Pn, à paraître au C. R. Acad. Sc., Paris. t. 294, 1982, p. 403-406. Zbl0493.14010MR83k:14015
  2. [Ba-VdV] BARTH (W.) et VAN DE VEN (A.). — On the geometry in codimension 2 of Grassmann manifolds in Classification of algebraic varieties and compact complex manifolds, Lectures Notes in Math., n° 412, 1974, p. 1-35. Zbl0299.14024MR50 #7139
  3. [Dr] DREZET (J. M.). — Exemples de fibrés uniformes non homogènes, C. R. Acad. Sc., Paris, t. 291, 1980, p. 125-128. Zbl0456.14012MR83i:14010
  4. [E-H-S] ELENCWAJG (G.), HIRSCHOWITZ (A.) et SCHNEIDER (M.). — Les fibrés uniformes de rang au plus n sur ℙn(ℂ) sont ceux qu'on croit in Vector bundles and differential equations. Proceedings, Nice, 1979. Progress in Math., vol. 7 (Birkhäuser Boston), p. 37-63. Zbl0456.32009MR81k:14015
  5. [Ele, 1] ELENCWAJG (G.). — Les fibrés uniformes de rang 3 sur ℙ2 (ℂ) sont homogènes, Math. Ann., vol. 231, 1978, p. 217-227. Zbl0378.14003MR58 #1278
  6. [Ele, 2] ELENCWAJG (G.). — Des fibrés uniformes non homogènes, Math. Ann., vol. 239, 1979, p. 185-192. Zbl0498.14007MR80k:32030
  7. [Ell, 1] ELLIA (P.). — Des fibrés uniformes non homogènes de rang (2n+1) sur Pn(n≧3), Journal für die reine and ang. Math., vol. 321, 1981, p. 113-119. Zbl0437.14006MR82g:14019b
  8. [Ell, 2] ELLIA (P.). — Sur les fibrés uniformes de rang (n+1) sur Pn : Mémoire de la Soc. Math. France, nouvelle série n° 7, 1982, p. 1-60. Zbl0505.14015
  9. [Ha] HARTSHORNE (R.). — Algebraic Geometry Graduate texts in Math., vol. 52, Springer-Verlag, New York, 1977. Zbl0367.14001MR57 #3116
  10. [Sa] SATO (E.). — Uniform vector bundles on a projective space, J. Math. Soc. Japan, vol. 28, 1976, p. 123-132. Zbl0315.14003MR53 #2952
  11. [VdV] VAN DE VEN (A.). — On uniform vector bundles, Math. Ann., vol. 195, 1972, p. 245-248. Zbl0215.43202MR45 #276

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