Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves
Mihnea Popa
Source: Duke Math. J. Volume 107, Number 3
(2001), 469-495.
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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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1091737020
Mathematical Reviews number (MathSciNet): MR1828298
Digital Object Identifier: doi:10.1215/S0012-7094-01-10732-1
Zentralblatt MATH identifier: 01820807
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