Effective Hironaka resolution and its complexity

Edward Bierstone; Dima Grigoriev; Pierre Milman; Jarosław Włodarczyk

doi:ajm/1330438138

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Home > Journals > Asian J. Math. > Volume 15 > Issue 2 > Article

June 2011 Effective Hironaka resolution and its complexity

Edward Bierstone, Dima Grigoriev, Pierre Milman, Jarosław Włodarczyk

Asian J. Math. 15(2): 193-228 (June 2011).

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Abstract

Building upon works of Hironaka, Bierstone-Milman, Villamayor and Włodarczyk. We give an a priori estimate for the complexity of the simplified Hironaka algorithm.

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Edward Bierstone. Dima Grigoriev. Pierre Milman. Jarosław Włodarczyk. "Effective Hironaka resolution and its complexity." Asian J. Math. 15 (2) 193 - 228, June 2011.

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Published: June 2011

First available in Project Euclid: 28 February 2012

zbMATH: 1315.14022

MathSciNet: MR2838220

Subjects:

Primary: 14E15 , 32S45 , 68Q15

Keywords: Complexity , Grzegorczyk classes , primitive recursive functions , resolution of singularities

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Asian J. Math.

Vol.15 • No. 2 • June 2011

International Press of Boston

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Edward Bierstone, Dima Grigoriev, Pierre Milman, Jarosław Włodarczyk "Effective Hironaka resolution and its complexity," Asian Journal of Mathematics, Asian J. Math. 15(2), 193-228, (June 2011)

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