Embedded desingularization of toric varieties

preprint2009arXivOpen access

Abstract

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

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