Embedded desingularization of toric varieties

Details Embedded desingularization of toric varieties Embedded desingularization of toric varieties

2009-01-15

arxiv.org/abs/0901.2211v2

Journal of Symbolic Computation 46 (2011), pp. 1229-1241

Mathematics

Algebraic Geometry

Some comments have been corrected and references added

Scientific paper

10.1016/j.jsc.2011.08.005

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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