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Ellia, Philippe

Sur les fibres uniformes de rang (n+1) sur \(P^ n\). (French) Zbl 0505.14015

Mém. Soc. Math. Fr., Nouv. Sér. 7, 60 p. (1982).
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Cited in 1 Review
Cited in 14 Documents

MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results

Keywords:

uniform vector bundle; grassmannian; splitting type; homogeneous algebraic vector bundle

Citations:

Zbl 0315.14003; Zbl 0456.32009; Zbl 0493.14010
Cite Review PDF
Full Text: DOI Numdam EuDML

References:

[1] BALLICO, E. , ELLIA, Ph. , Fibrés homogènes sur \Bbb Pn , (à paraître) [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 ) MR 50 #7139 | Zbl 0299.14024 · Zbl 0299.14024
[2] DREZET, J.M. , Exemples de fibrés uniformes non-homogènes sur \Bbb Pn , C.R.A.S., t. 291, série A, 125-128, ( 1980 ) MR 83i:14010 | Zbl 0456.14012 · Zbl 0456.14012
[3] EIN, L. , Stable Vector bundles on Projective spaces in char \rho > o , Math. Ann., 254, 53-72, ( 1980 ) MR 82d:14010 | Zbl 0431.14003 · Zbl 0431.14003 · doi:10.1007/BF01457885
[4] ELENCWAJG, G. , Les fibrés uniformes de rang 3 sur \Bbb P2 (\Bbb C) sont homogènes , Math. Ann., 231, 217-227, ( 1978 ) MR 58 #1278 | Zbl 0378.14003 · Zbl 0378.14003 · doi:10.1007/BF01420242
[5] ELENCWAJG, G. , Des fibrés uniformes non-homogènes , Math. Ann., 239, 185-192, ( 1979 ) MR 80k:32030 | Zbl 0498.14007 · Zbl 0498.14007 · doi:10.1007/BF01420375
[6] ELENCWAJG, G. , Fibrés uniformes de rang élevé sur \Bbb P2 , Fourrier, Grenoble, 31, 4, 89-114, ( 1981 ) Numdam | MR 83c:14012 | Zbl 0483.14003 · Zbl 0483.14003 · doi:10.5802/aif.850
[7] ELENCWAJG, G. , FOSTER, O. , Bounding cohomology groups of vector bundles on \Bbb Pn , Math. Ann., 246, 251-270, ( 1980 ) Zbl 0432.14011 · Zbl 0432.14011 · doi:10.1007/BF01371047
[8] ELENCWAJG, G. , HIRSCHOWITZ, A. , SCHNEIDER, M. , Les fibrés uniformes de rang au plus n sur \Bbb Pn (\Bbb 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 ) Zbl 0456.32009 · Zbl 0456.32009
[9] ELLIA, Ph. , Des fibrés uniformes non-homogènes de rang 2n+1 sur \Bbb Pn (\Bbb C) , Journal für die reine und ang. Math., 321, 113-119, ( 1981 ) Article | MR 82g:14019b | Zbl 0437.14006 · Zbl 0437.14006 · doi:10.1515/crll.1981.321.113
[10] HARDER, G. , NARASIMHAN, M.S. , On the Cohomology groups of Moduli Spaces of Vector Bundles on Curves , Math. Ann., 212, 213-248, ( 1974 ) MR 51 #509 | Zbl 0324.14006 · Zbl 0324.14006 · doi:10.1007/BF01357141
[11] HARTSHORNE, R. , Algebraic Geometry , Graduate texts in Mathematics, vol. 52, Berlin, Heidelberg, New York, Springer Verlag, ( 1977 ) MR 57 #3116 | Zbl 0367.14001 · Zbl 0367.14001
[12] LANG, S. , Algebra , Addison Wesley, ( 1977 ) [O-S-S] OKONEK, C. , SCHNEIDER, M. , SPINDLER, H. , Vector bundles on complex projective spaces , Progress in Math., 3, Birkhaüser, Boston, ( 1980 ) MR 81b:14001 | Zbl 0438.32016 · Zbl 0438.32016
[13] SATO, E. , Uniform vector bundles on a projective space , J. Math, Soc., Japan. 28, 123-132, ( 1976 ) Article | MR 53 #2952 | Zbl 0315.14003 · Zbl 0315.14003 · doi:10.2969/jmsj/02810123
[14] VAN de VEN, A. , On uniform vector bundles , Math., Ann., 195, 245-248, ( 1978 ). MR 45 #276 | Zbl 0215.43202 · Zbl 0215.43202 · doi:10.1007/BF01419597
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