Multiplier ideals of plane curve singularities via Newton polygons

被引：0

作者：

Perez, Pedro D. Gonzalez ^{[1
,2
]}

Villa, Manuel Gonzalez ^{[3
]}

Duran, Carlos R. Guzman ^{[3
]}

Buces, Miguel Robredo ^{[4
]}

机构：

[1] Univ Complutense Madrid, Inst Matemat Interdisciplinar, Fac Ciencias Matemat, Plaza Ciencias 3, Madrid 28040, Spain

[2] Univ Complutense Madrid, Dept Algebra Geometria & Topol, Fac Ciencias Matemat, Plaza Ciencias 3, Madrid 28040, Spain

[3] Ctr Invest Matemat, Guanajuato, Gto, Mexico

[4] UCM, Inst Ciencias Matemat, CSIC, UC3M,UAM, Calle Nicolas Cabrera, Madrid, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 03期

关键词：

Jumping numbers; multiplier ideals; plane curve singularities; toroidal resolutions; JUMPING NUMBERS; POINCARE-SERIES; VALUATIONS;

D O I：

10.1080/00927872.2023.2257799

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a description of the multiplier ideals and jumping numbers associated with a plane curve singularity in a smooth surface in terms of Newton polygons. Our approach is inspired by a theorem of Howald about multiplier ideals of Newton non-degenerate hypersurfaces and our results provide a generalization of it to the case of plane curve singularities. We use toroidal embedded resolutions, which can be applied to the case of quasi-ordinary hypersurface singularities.

引用

页码：1142 / 1162

页数：21

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