English

Desingularization of toric and binomial varieties

Algebraic Geometry 2007-05-23 v1 Commutative Algebra Combinatorics

Abstract

We give a combinatorial algorithm for equivariant embedded resolution of singularities of a toric variety defined over a perfect field. The algorithm is realized by a finite succession of blowings-up with smooth invariant centres that satisfy the normal flatness criterion of Hironaka. The results extend to more general varieties defined locally by binomial equations.

Keywords

Cite

@article{arxiv.math/0411340,
  title  = {Desingularization of toric and binomial varieties},
  author = {Edward Bierstone and Pierre D. Milman},
  journal= {arXiv preprint arXiv:math/0411340},
  year   = {2007}
}

Comments

45 pages