Monads and Vector Bundles on Quadrics
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0612512,
title = {Monads and Vector Bundles on Quadrics},
author = {F. Malaspina},
journal= {arXiv preprint arXiv:math/0612512},
year = {2007}
}