English

Toric singularities revisited

Commutative Algebra 2007-05-23 v2 Algebraic Geometry

Abstract

In [Kat94b], Kato defined his notion of a log regular scheme and studied the local behavior of such schemes. A toric variety equipped with its canonical logarithmic structure is log regular. And, these schemes allow one to generalize toric geometry to a theory that does not require a base field. This paper will extend this theory by removing normality requirements.

Keywords

Cite

@article{arxiv.math/0305441,
  title  = {Toric singularities revisited},
  author = {Howard M Thompson},
  journal= {arXiv preprint arXiv:math/0305441},
  year   = {2007}
}

Comments

new longer introduction, other minor improvements, 35 pages