Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves

Details Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves

2000-02-02

arxiv.org/abs/math/0002018v3

Duke Math J. 107 (2001), no.3, 469-495

Mathematics

Algebraic Geometry

22 pages; final version with minor corrections

Scientific paper

We obtain effective results for the global generation of pluritheta line
bundles on moduli spaces of vector bundles on curves. The main ingredient is an
independent result giving an upper bound on the dimension of the Hilbert scheme
of coherent quotients of a given vector bundle.

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