中文

Desingularization of toric and binomial varieties

代数几何 2007-05-23 v1 交换代数 组合数学

摘要

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.

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引用

@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}
}

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45 pages