Existence of Indecomposable Rank Two Vector Bundles on Higher Dimensional Toric Varieties |
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| Authors: | Giulio Cotignoli |
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| Affiliation: | Department of Mathematics , University of Rome “La Sapienza” , Rome , Italy |
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| Abstract: | In the mid 1970s, Hartshorne conjectured that, for all n > 7, any rank 2 vector bundles on ? 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 ? n . |
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| Keywords: | Del Pezzo varieties Toric Fano varieties Vector bundles |
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