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Vector bundles on Fano 3-folds without intermediate cohomology

Enrique Arrondo·Laura Costa
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Abstract

We study the vector bundles without intermediate cohomology on Fano threefolds of index two, degree d=3,4,5 and Betti number one. We obtain a complete characterization in the case of rank-two vector bundles. For arbitrary rank, we give all possible Chern classes of such vector bundles, under some general condition.

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Enrique Arrondo, Laura Costa. 1998-04-07. Vector bundles on Fano 3-folds without intermediate cohomology. https://arxiv.org/abs/math/9804033

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