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On some moduli spaces of stable vector bundles on cubic and quartic threefolds
Authors:Indranil Biswas
Affiliation:a School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India
b Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 8th Mile Mysore Road, Bangalore 560059, India
c Mathematics Department, Indian Institute of Science, Bangalore 560 012, India
Abstract:We study certain moduli spaces of stable vector bundles of rank 2 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.
Keywords:Primary   14D20   14J60   secondary   14F05   14J45   14C05   14K30   14J30
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