Sur les fibrés uniformes de rang ( n + 1 ) sur P n

Philippe Ellia

Mémoires de la Société Mathématique de France (1982)

  • Volume: 7, page 1-60
  • ISSN: 0249-633X

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Ellia, Philippe. "Sur les fibrés uniformes de rang $(n+1)$ sur $P^n$." Mémoires de la Société Mathématique de France 7 (1982): 1-60. <http://eudml.org/doc/94830>.

@article{Ellia1982,
author = {Ellia, Philippe},
journal = {Mémoires de la Société Mathématique de France},
keywords = {uniform vector bundle; grassmannian; splitting type; homogeneous algebraic vector bundle},
language = {fre},
pages = {1-60},
publisher = {Société mathématique de France},
title = {Sur les fibrés uniformes de rang $(n+1)$ sur $P^n$},
url = {http://eudml.org/doc/94830},
volume = {7},
year = {1982},
}

TY - JOUR
AU - Ellia, Philippe
TI - Sur les fibrés uniformes de rang $(n+1)$ sur $P^n$
JO - Mémoires de la Société Mathématique de France
PY - 1982
PB - Société mathématique de France
VL - 7
SP - 1
EP - 60
LA - fre
KW - uniform vector bundle; grassmannian; splitting type; homogeneous algebraic vector bundle
UR - http://eudml.org/doc/94830
ER -

References

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  1. [Ba-Ell] BALLICO, E., ELLIA, Ph., Fibrés homogènes sur ℙn, (à paraître) 
  2. [Ba-VdV] BARTH, W., VAN de VEN, A., On the geometry in codimension 2 of Grassman manifolds, in Classification of Algebraic Varieties and Compact Complex Manifolds, Lecture Notes in Mathematics, 412, Springer Verlag, (1974) Zbl0299.14024MR50 #7139
  3. [Dr] DREZET, J.M., Exemples de fibrés uniformes non-homogènes sur ℙn, C.R.A.S., t. 291, série A, 125-128, (1980) Zbl0456.14012MR83i:14010
  4. [Ein] EIN, L., Stable Vector bundles on Projective spaces in char ρ &gt; o, Math. Ann., 254, 53-72, (1980) Zbl0431.14003MR82d:14010
  5. [Ele,1] ELENCWAJG, G., Les fibrés uniformes de rang 3 sur ℙ2 (ℂ) sont homogènes, Math. Ann., 231, 217-227, (1978) Zbl0378.14003MR58 #1278
  6. [Ele,2] ELENCWAJG, G., Des fibrés uniformes non-homogènes, Math. Ann., 239, 185-192, (1979) Zbl0498.14007MR80k:32030
  7. [Ele,3] ELENCWAJG, G., Fibrés uniformes de rang élevé sur ℙ2, Fourrier, Grenoble, 31, 4, 89-114, (1981) Zbl0483.14003MR83c:14012
  8. [Ele-For] ELENCWAJG, G., FOSTER, O., Bounding cohomology groups of vector bundles on ℙn, Math. Ann., 246, 251-270, (1980) Zbl0432.14011
  9. [E-H-S] ELENCWAJG, G., HIRSCHOWITZ, A., SCHNEIDER, M., Les fibrés uniformes de rang au plus n sur ℙn (ℂ) sont ceux qu'on croit, Proceedings of the Nice Conference (1979) on Vector Bundles and Differential equations, Progress in Math., 7, Birkhaüser, Boston, 37-63, (1980) Zbl0456.32009
  10. [Ell] ELLIA, Ph., Des fibrés uniformes non-homogènes de rang 2n+1 sur ℙn (ℂ), Journal für die reine und ang. Math., 321, 113-119, (1981) Zbl0437.14006MR82g:14019b
  11. [Ha-Na] HARDER, G., NARASIMHAN, M.S., On the Cohomology groups of Moduli Spaces of Vector Bundles on Curves, Math. Ann., 212, 213-248, (1974) Zbl0324.14006MR51 #509
  12. [Ha] HARTSHORNE, R., Algebraic Geometry, Graduate texts in Mathematics, vol. 52, Berlin, Heidelberg, New York, Springer Verlag, (1977) Zbl0367.14001MR57 #3116
  13. [Lang] LANG, S., Algebra, Addison Wesley, (1977) 
  14. [O-S-S] OKONEK, C., SCHNEIDER, M., SPINDLER, H., Vector bundles on complex projective spaces, Progress in Math., 3, Birkhaüser, Boston, (1980) Zbl0438.32016MR81b:14001
  15. [Sa] SATO, E., Uniform vector bundles on a projective space, J. Math, Soc., Japan. 28, 123-132, (1976) Zbl0315.14003MR53 #2952
  16. [VdV] VAN de VEN, A., On uniform vector bundles, Math., Ann., 195, 245-248, (1978). Zbl0215.43202MR45 #276

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