Combinatorial aspects of classical resolution of singularities

被引：4

作者：

Molina-Samper, Beatriz ^{[1
]}

机构：

[1] Univ Valladolid, Fac Ciencias, Dept Algebra Anal Matemat Geometria & Topol, Campus Miguel Delibes,Paseo Belen 7, E-47011 Valladolid, Spain

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 04期

关键词：

Polyhedra systems; Maximal contact; Reduction of singularities; NEWTON POLYHEDRA; FOLIATIONS;

D O I：

10.1007/s13398-018-0583-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe combinatorial aspects of classical resolution of singularities that are free of characteristic and can be applied to singular foliations and vector fields as well as to functions and varieties. In particular, we give a combinatorial version of Hironaka's maximal contact theory in terms of characteristic polyhedra systems and we show the global existence of maximal contact in this context.

引用

页码：3931 / 3948

页数：18

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