Spaces of matrices of constant rank and uniform vector bundles
Algebraic Geometry
2015-08-04 v1
Abstract
Let A be a k-vector space of dimension a. A subvector space M of End(A) is said to be of rank r if every non-zero f in M has rank r. The problem considered in this paper is to determine l(r;a) the maximal dimension of a rank r subspace of End(A). Known results are reviewed in the language of vector bundles. Some new results are proved and a conjecture is made.
Keywords
Cite
@article{arxiv.1508.00209,
title = {Spaces of matrices of constant rank and uniform vector bundles},
author = {Philippe Ellia and Paolo Menegatti},
journal= {arXiv preprint arXiv:1508.00209},
year = {2015}
}
Comments
12 pages