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Cohomological characterization of vector bundles on Grassmannians of lines

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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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Official URL: http://www.sciencedirect.com/science/article/pii/S0021869309006061



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
Deposited On:17 Apr 2012 11:32
Last Modified:07 Aug 2018 11:28

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