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

2000/02/29 by Mihnea Popa
Mathematics · #math.AG #msc:14H60

paper · pdf

published as Duke Math J. 107 (2001), no.3, 469-495 · 22 pages; final version with minor corrections

arxiv created 2003/06/05 · arxiv updated 2009/11/30

Abstract

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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