English

Ample Weil divisors

Algebraic Geometry 2015-05-06 v3

Abstract

We define and study positivity (nefness, amplitude, bigness and pseudo-effectiveness) for Weil divisors on normal projective varieties. We prove various characterizations, vanishing and non-vanishing theorems for cohomology, global generation statements, and a result related to log Fano.

Keywords

Cite

@article{arxiv.1310.5961,
  title  = {Ample Weil divisors},
  author = {Alberto Chiecchio and Stefano Urbinati},
  journal= {arXiv preprint arXiv:1310.5961},
  year   = {2015}
}

Comments

Version 3: published version

R2 v1 2026-06-22T01:51:53.181Z