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

Mihnea Popa

doi:10.1215/S0012-7094-01-10732-1

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

Mihnea Popa

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We give an upper bound on the dimension of the Hilbert scheme of quotients of an arbitrary vector bundle on a smooth projective curve, depending on the minimal degree of such a quotient. The bound is used for deriving effective base point freeness statements for generalized theta linear series on moduli spaces of vector bundles.

Original language	English (US)
Pages (from-to)	469-495
Number of pages	27
Journal	Duke Mathematical Journal
Volume	107
Issue number	3
DOIs	https://doi.org/10.1215/S0012-7094-01-10732-1
State	Published - Jan 1 2001

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Mathematics(all)

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10.1215/S0012-7094-01-10732-1

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abstract = "We give an upper bound on the dimension of the Hilbert scheme of quotients of an arbitrary vector bundle on a smooth projective curve, depending on the minimal degree of such a quotient. The bound is used for deriving effective base point freeness statements for generalized theta linear series on moduli spaces of vector bundles.",

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AB - We give an upper bound on the dimension of the Hilbert scheme of quotients of an arbitrary vector bundle on a smooth projective curve, depending on the minimal degree of such a quotient. The bound is used for deriving effective base point freeness statements for generalized theta linear series on moduli spaces of vector bundles.

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

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