Asian Journal of Mathematics

Volume 15 (2011)

Number 2

Effective Hironaka resolution and its complexity

Pages: 193 – 228

DOI: https://dx.doi.org/10.4310/AJM.2011.v15.n2.a4

Authors

Edward Bierstone

Dima Grigoriev

Pierre Milman

Jarosław Włodarczyk

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.

Keywords

Resolution of singularities, complexity, primitive recursive functions, Grzegorczyk classes

2010 Mathematics Subject Classification

14E15, 32S45, 68Q15

Full Text (PDF format)

Published 30 August 2011