Dimension Estimates for Hilbert Schemes and Effective Base Point Freeness on Moduli Spaces of Vector Bundles on Curves
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چکیده
It is a well established fact that the solutions of many problems involving families of vector bundles should essentially depend on good estimates for the dimension of the Hilbert schemes of coherent quotients of a given bundle. Deformation theory provides basic cohomological dimension bounds, but most of the time the cohomology groups involved are hard to estimate accurately and moreover do not provide bounds that work uniformly. On smooth algebraic curves, an optimal answer to this problem has been previously given only in the case of quotients of minimal degree by Mukai and Sakai. If E is a vector bundle of rank r and
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تاریخ انتشار 2000