English

Remarks on the non-vanishing conjecture

Algebraic Geometry 2012-05-30 v2

Abstract

We discuss a difference between the rational and the real non-vanishing conjecture for pseudo-effective log canonical divisors of log canonical pairs. We also show the log non-vanishing theorem for rationally connected varieties under assuming Shokurov's ACC conjectures.

Keywords

Cite

@article{arxiv.1201.1128,
  title  = {Remarks on the non-vanishing conjecture},
  author = {Yoshinori Gongyo},
  journal= {arXiv preprint arXiv:1201.1128},
  year   = {2012}
}

Comments

9 pages, v2: revision following referee's comments

R2 v1 2026-06-21T20:00:38.454Z