EFFECTIVE HIRONAKA RESOLUTION AND ITS COMPLEXITY (WITH APPENDIX ON APPLICATIONS IN POSITIVE CHARACTERISTIC)

Edward Bierstone , Dima Grigoriev (1, 2) , Pierre Milman , Jaroslaw Wlodarczyk

1 CNRS - Centre National de la Recherche Scientifique
2 LPP - Laboratoire Paul Painlevé - UMR 8524

Building upon works of Hironaka, Bierstone-Milman, Villamayor and W lodarczyk 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 a canonical Hironaka embedded desingularization and principalization over the fields of large characteristic (relatively to degree of generating polynomials).

Domaines: Mathématiques [math]

Edward Bierstone, Dima Grigoriev, Pierre Milman, Jaroslaw Wlodarczyk. EFFECTIVE HIRONAKA RESOLUTION AND ITS COMPLEXITY (WITH APPENDIX ON APPLICATIONS IN POSITIVE CHARACTERISTIC). Asian Journal of Mathematics, 2011. ⟨hal-03044963⟩