Effective very ampleness for generalized theta divisors

Eduardo Esteves; Mihnea Popa

doi:10.1215/S0012-7094-04-12331-0

Effective very ampleness for generalized theta divisors

Eduardo Esteves^*, Mihnea Popa

^*Corresponding author for this work

Mathematics

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

1 Scopus citations

Abstract

Given a smooth protective curve X, we give effective very ampleness bounds for generalized theta divisors on the moduli spaces SU_X (r, d) and U_X (r, d) of semistable vector bundles of rank r and degree d on X with fixed, respectively, arbitrary, determinant.

Original language	English (US)
Pages (from-to)	429-444
Number of pages	16
Journal	Duke Mathematical Journal
Volume	123
Issue number	3
DOIs	https://doi.org/10.1215/S0012-7094-04-12331-0
State	Published - Jun 15 2004

ASJC Scopus subject areas

Mathematics(all)

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title = "Effective very ampleness for generalized theta divisors",

abstract = "Given a smooth protective curve X, we give effective very ampleness bounds for generalized theta divisors on the moduli spaces SUX (r, d) and UX (r, d) of semistable vector bundles of rank r and degree d on X with fixed, respectively, arbitrary, determinant.",

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