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Cohomological characterization of vector bundles on Grassmannians of lines

By Enrique Arrondo Esteban and Francesco Malaspina

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

Topics: Geometria algebraica
Publisher: Elsevier Science
Year: 2010
DOI identifier: 10.1016/j.jalgebra.2009.11.007
OAI identifier: oai:www.ucm.es:14754
Provided by: EPrints Complutense

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