arXiv:math/0612512 Abstract

arXiv:math/0612512 [math.AG]Abstract References Reviews Resources

Monads and Vector Bundles on Quadrics

Published 2006-12-18Version 1

We improve Ottaviani's splitting criterion for vector bundles on a quadric hypersurface and obtain the equivalent of the result by Rao, Mohan Kumar and Peterson. Then we give the classification of rank 2 bundles without "inner" cohomology on Q_n (n>3). It surprisingly exactly agrees with the classification by Ancona, Peternell and Wisniewski of rank 2 Fano bundles.

Categories: math.AG

Subjects: 14F05, 14J60

Keywords: vector bundles, ottavianis splitting criterion, classification, fano bundles, quadric hypersurface

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