English

Singularities on normal varieties

Algebraic Geometry 2014-01-14 v2 Commutative Algebra

Abstract

In this paper we generalize the definitions of singularities of pairs and multiplier ideal sheaves to pairs on arbitrary normal varieties, without any assumption on the variety being Q-Gorenstein or the pair being log Q-Gorenstein. The main features of the theory extend to this setting in a natural way.

Keywords

Cite

@article{arxiv.0805.1767,
  title  = {Singularities on normal varieties},
  author = {Tommaso de Fernex and Christopher D. Hacon},
  journal= {arXiv preprint arXiv:0805.1767},
  year   = {2014}
}

Comments

21 pages; v2: final version (minor changes), to appear in Compositio Mathematica

R2 v1 2026-06-21T10:39:45.451Z