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ISSN 1088-6834(e) ISSN 0894-0347(p)

Simple Hironaka resolution in characteristic zero

Author(s): Jaroslaw Wlodarczyk
Journal: J. Amer. Math. Soc. 18 (2005), 779-822.
MSC (2000): Primary 14E15, 14B05, 32S05, 32S45
Posted: July 13, 2005
MathSciNet review: 2163383
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Abstract: Building upon work of Villamayor and Bierstone-Milman we give a proof of the canonical Hironaka principalization and desingularization. The idea of ``homogenized ideals" introduced in the paper gives a priori the canonicity of the algorithm and radically simplifies the proof.

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