Effective very ampleness for generalized theta divisors

Eduardo Esteves; Mihnea Popa

Effective very ampleness for generalized theta divisors

Algebraic Geometry 2007-05-23 v2

Authors: Eduardo Esteves , Mihnea Popa

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.

Keywords

vector bundles nef and ample line bundles moduli spaces

Cite

@article{arxiv.math/0306104,
  title  = {Effective very ampleness for generalized theta divisors},
  author = {Eduardo Esteves and Mihnea Popa},
  journal= {arXiv preprint arXiv:math/0306104},
  year   = {2007}
}

Comments

15 pages; final version, with minor corrections

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