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arXiv · 1508.00209

Spaces of matrices of constant rank and uniform vector bundles

Philippe Ellia·Paolo Menegatti
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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.

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Philippe Ellia, Paolo Menegatti. 2015-08-02. Spaces of matrices of constant rank and uniform vector bundles. https://arxiv.org/abs/1508.00209

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