Monads and Vector Bundles on Quadrics

Details Monads and Vector Bundles on Quadrics Monads and Vector Bundles on Quadrics

2006-12-18

arxiv.org/abs/math/0612512v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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