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arXiv · 0901.2211

Embedded desingularization of toric varieties

Rocio Blanco·Santiago Encinas
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Abstract

We present a new method to achieve an embedded desingularization of a toric variety. Let $W$ be a regular toric variety defined by a fan $\Sigma$ and $X\subset W$ be a toric embedding. We construct a finite sequence of combinatorial blowing-ups such that the final strict transforms $X'\subset W'$ are regular and $X'$ has normal crossing with the exceptional divisor.

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Rocio Blanco, Santiago Encinas. 2009-01-15. Embedded desingularization of toric varieties. https://doi.org/10.1016/j.jsc.2011.08.005

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