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

Mihnea Popa

Research output: Contribution to journalArticlepeer-review

13 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 languageEnglish (US)
Pages (from-to)469-495
Number of pages27
JournalDuke Mathematical Journal
Volume107
Issue number3
DOIs
StatePublished - Jan 1 2001

ASJC Scopus subject areas

  • Mathematics(all)

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