Existence of Rank Two Vector Bundles on Higher Dimensional Toric Varieties
Algebraic Geometry
2013-07-12 v2
Abstract
In the mid 70's, Hartshorne conjectured that, for all n > 7, any rank 2 vector bundles on P^n is a direct sum of line bundles. This conjecture remains still open. In this paper, we construct indecomposable rank two vector bundles on a large class of Fano toric varieties. Unfortunately, this class does not contain P^n
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Cite
@article{arxiv.1005.5546,
title = {Existence of Rank Two Vector Bundles on Higher Dimensional Toric Varieties},
author = {Giulio Cotignoli and Alexandru Sterian},
journal= {arXiv preprint arXiv:1005.5546},
year = {2013}
}
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8 pages