English

Remarks on the existence of Cartier divisors

Algebraic Geometry 2007-05-23 v1

Abstract

Given an invertible sheaf, does it come from a Cartier divisor? This might fail in presence of embedded components. I give some examples and characterize those invertible sheaves that allow a Cartier divisor.

Keywords

Cite

@article{arxiv.math/0001104,
  title  = {Remarks on the existence of Cartier divisors},
  author = {Stefan Schroeer},
  journal= {arXiv preprint arXiv:math/0001104},
  year   = {2007}
}

Comments

5 pages, to appear in Arch. Math