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Cohomological characterization of vector bundles on Grassmannians of lines

Arrondo Esteban, Enrique and Malaspina, Francesco (2010) Cohomological characterization of vector bundles on Grassmannians of lines. Journal of Algebra, 323 (4). pp. 1098-1106. ISSN 0021-8693

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Abstract

We introduce a notion of regularity for coherent sheaves on Grassmannians of lines. We use this notion to prove some extension of Evans-Griffith criterion to characterize direct sums of line bundles. We also give. in the line of previous results by Costa and Miro-Roig, a cohomological characterization of exterior and symmetric powers of the universal bundles of the Grassmannian.

Item Type:Article
Uncontrolled Keywords:Castelnuovo-Mumford regularity; Criterion; Quadrics; Spaces
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:14754
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Deposited On:17 Apr 2012 11:32
Last Modified:06 Feb 2014 10:08

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