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arXiv · 1005.5546

Existence of Rank Two Vector Bundles on Higher Dimensional Toric Varieties

Giulio Cotignoli·Alexandru Sterian
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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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Giulio Cotignoli, Alexandru Sterian. 2012-06-05. Existence of Rank Two Vector Bundles on Higher Dimensional Toric Varieties. https://doi.org/10.1080/00927872.2012.660669

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