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

Mihnea Popa
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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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Mihnea Popa. 2003-06-05. Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves. https://arxiv.org/abs/math/0002018

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