Desingularization of toric and binomial varieties

Details Desingularization of toric and binomial varieties Desingularization of toric and binomial varieties

2004-11-15

arxiv.org/abs/math/0411340v1

Mathematics

Algebraic Geometry

45 pages

Scientific paper

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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