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arXiv · 1206.3090

Effective Hironaka resolution and its Complexity (with appendix on applications in positive characteristic)

Edward Bierstone·Dima Grigoriev·Pierre Milman·Jaroslaw Wlodarczyk
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Abstract

Building upon works of Hironaka, Bierstone-Milman, Villamayor and Wlodarczyk, we give an a priori estimate for the complexity of the simplified Hironaka algorithm. As a consequence of this result, we show that there exists canonical Hironaka embedded desingularization and principalization over fields of large characteristic (relative to the degrees of generating polynomials).

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Edward Bierstone, Dima Grigoriev, Pierre Milman, Jaroslaw Wlodarczyk. 2012-06-14. Effective Hironaka resolution and its Complexity (with appendix on applications in positive characteristic). https://arxiv.org/abs/1206.3090

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