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

Biswas, Indranil ; Biswas, Jishnu ; Ravindra, G. V. (2008) On some moduli spaces of stable vector bundles on cubic and quartic threefolds Journal of Pure and Applied Algebra, 212 (10). pp. 2298-2306. ISSN 0022-4049

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00224...

Related URL: http://dx.doi.org/10.1016/j.jpaa.2008.03.029

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.

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