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Linear and Steiner bundles on projective varieties

Marcos Jardim·Renato Vidal Martins
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Abstract

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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Marcos Jardim, Renato Vidal Martins. 2007-02-02. Linear and Steiner bundles on projective varieties. https://arxiv.org/abs/math/0702048

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