English

Divisorial models of normal varieties

Algebraic Geometry 2015-05-06 v2

Abstract

We prove that the canonical ring of a canonical variety in the sense of de Fernex and Hacon is finitely generated. We prove that canonical varieties are klt if and only if R(-K_X) is finitely generated. We introduce a notion of nefness for non-Q-Gorenstein varieties and study some of its properties. We then focus on these properties for non-Q-Gorenstein toric varieties.

Keywords

Cite

@article{arxiv.1211.1692,
  title  = {Divisorial models of normal varieties},
  author = {Stefano Urbinati},
  journal= {arXiv preprint arXiv:1211.1692},
  year   = {2015}
}

Comments

Updated version

R2 v1 2026-06-21T22:34:37.687Z