Effective very ampleness for generalized theta divisors

2003/06/30 by Eduardo Esteves, Mihnea Popa
Mathematics · #math.AG #msc:14H60

paper · pdf

published as Duke Math. J. 123 (2004), no.3, 429-444 · 15 pages; final version, with minor corrections

arxiv created 2004/07/22 · arxiv updated 2009/11/30

Abstract

Given a smooth projective 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.

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