English

On Generalised Abundance, I

Algebraic Geometry 2020-04-07 v2

Abstract

The goal of this paper is to make a surprising connection between several central conjectures in algebraic geometry: the Nonvanishing Conjecture, the Abundance Conjecture, and the Semiampleness Conjecture for nef line bundles on K-trivial varieties.

Keywords

Cite

@article{arxiv.1808.00438,
  title  = {On Generalised Abundance, I},
  author = {Vladimir Lazić and Thomas Peternell},
  journal= {arXiv preprint arXiv:1808.00438},
  year   = {2020}
}
R2 v1 2026-06-23T03:21:52.792Z