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) |
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Pages (from-to) | 469-495 |
Number of pages | 27 |
Journal | Duke Mathematical Journal |
Volume | 107 |
Issue number | 3 |
DOIs | |
State | Published - Jan 1 2001 |
ASJC Scopus subject areas
- Mathematics(all)