Linear and Steiner bundles on projective varieties

Details Linear and Steiner bundles on projective varieties Linear and Steiner bundles on projective varieties

2007-02-02

arxiv.org/abs/math/0702048v1

Mathematics

Algebraic Geometry

Scientific paper

We use a generalization of Horrocks monads for arithmetic Cohen-Macaulay
(ACM) varieties to establish a cohomological characterization of linear and
Steiner bundles over projective spaces and quadric hypersurfaces. We also study
resolutions of bundles on ACM varieties by line bundles, and characterize
linear homological dimension in the case of quadric hypersurfaces.

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