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Desingularization of toric and binomial varieties

Research paper by Edward Bierstone, Pierre D. Milman

Indexed on: 15 Nov '04Published on: 15 Nov '04Published in: Mathematics - Algebraic Geometry



Abstract

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.