Vector bundles on Fano 3-folds without intermediate cohomology

Details Vector bundles on Fano 3-folds without intermediate cohomology Vector bundles on Fano 3-folds without intermediate cohomology

1998-04-07

arxiv.org/abs/math/9804033v1

Mathematics

Algebraic Geometry

AMSLaTeX

Scientific paper

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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