Truncated modules and linear presentations of vector bundles
Algebraic Geometry
2017-02-07 v3 Commutative Algebra
Abstract
We give a new method to construct linear spaces of matrices of constant rank, based on truncated graded cohomology modules of certain vector bundles as well as on the existence of graded Artinian modules with pure resolutions. Our method allows one to produce several new examples, and provides an alternative point of view on the existing ones.
Cite
@article{arxiv.1505.04204,
title = {Truncated modules and linear presentations of vector bundles},
author = {Ada Boralevi and Daniele Faenzi and Paolo Lella},
journal= {arXiv preprint arXiv:1505.04204},
year = {2017}
}
Comments
Revised version, to appear in IMRN. Complementary M2 package "ConstantRankMatrices" available at http://www.paololella.it/EN/Publications.html