On some Moduli spaces of stable vector bundles on cubic and quartic threefolds

Details On some Moduli spaces of stable vector bundles on cubic and quartic threefolds On some Moduli spaces of stable vector bundles on cubic and quartic threefolds

2008-04-18

arxiv.org/abs/0804.2977v1

Mathematics

Algebraic Geometry

12 pages, Journal of Pure and Applied Algebra (to appear)

Scientific paper

We study certain moduli spaces of stable vector bundles of rank two on cubic
and quartic threefolds. In many cases under consideration, it turns out that
the moduli space is complete and irreducible and a general member has vanishing
intermediate cohomology. In one case, all except one component of the moduli
space has such vector bundles.

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