Effective very ampleness for generalized theta divisors

Details Effective very ampleness for generalized theta divisors Effective very ampleness for generalized theta divisors

2003-06-05

arxiv.org/abs/math/0306104v2

Duke Math. J. 123 (2004), no.3, 429-444

Mathematics

Algebraic Geometry

15 pages; final version, with minor corrections

Scientific paper

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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