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June 2011 Some natural properties of constructive resolution of singularities
Angélica Benita, Santiago Encinas, Orlando E. Villamayor U.
Asian J. Math. 15(2): 141-192 (June 2011).

Abstract

These expository notes, addressed to non-experts, are intended to present some of Hironaka’s ideas on his theorem of resolution of singularities. We focus particularly on those aspects which have played a central role in the constructive proof of this theorem.

In fact, algorithmic proofs of the theorem of resolution grow, to a large extend, from the so called Hironaka’s fundamental invariant. Here we underline the influence of this invariant in the proofs of the natural properties of constructive resolution, such as: equivariance, compatibility with open restrictions, with pull-backs by smooth morphisms, with changes of the base field, independence of the embedding, etc.

Citation

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Angélica Benita. Santiago Encinas. Orlando E. Villamayor U.. "Some natural properties of constructive resolution of singularities." Asian J. Math. 15 (2) 141 - 192, June 2011.

Information

Published: June 2011
First available in Project Euclid: 28 February 2012

zbMATH: 1239.14005
MathSciNet: MR2838219

Subjects:
Primary: 14E15

Keywords: Equivariance , log-principalization , resolution of singularities , singularities

Rights: Copyright © 2011 International Press of Boston

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Vol.15 • No. 2 • June 2011
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