Multiplicities of jumping points for mixed multiplier ideals

被引：3

作者：

Alberich-Carraminana, Maria ^{[1
,2
]}

Alvarez Montaner, Josep ^{[3
]}

Dachs-Cadefau, Ferran ^{[4
]}

Gonzalez-Alonso, Victor ^{[5
]}

机构：

[1] Univ Politecn Cataluna, Barcelona Tech, CSIC, Dept Matemat,IRI, Ave Diagonal 647, E-08028 Barcelona, Spain

[2] Univ Politecn Cataluna, Barcelona Tech, CSIC, Inst Robot & Informat Ind,IRI, Ave Diagonal 647, E-08028 Barcelona, Spain

[3] Univ Politecn Cataluna, Barcelona Tech, Dept Matemat, Ave Diagonal 647, E-08028 Barcelona, Spain

[4] Martin Luther Univ Halle Wittenberg, Inst Math, Theodor Lieser Str 5, D-06099 Saale, Sachsen Anhalt, Germany

[5] Leibniz Univ Hannover, Inst Algebra Geometrie, Welfengarten 1, D-30161 Hannover, Niedersachsen, Germany

来源：

REVISTA MATEMATICA COMPLUTENSE | 2020年 / 33卷 / 01期

关键词：

Mixed multiplier ideals; Multiplicity; Poincare series; Jumping points; 2-DIMENSIONAL LOCAL-RINGS; HODGE THEORETICAL INVARIANTS; LOG-CANONICAL THRESHOLD; POINCARE-SERIES; GERMS; CURVES;

D O I：

10.1007/s13163-019-00309-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we make a systematic study of the multiplicity of the jumping points associated to the mixed multiplier ideals of a family of ideals in a complex surface with rational singularities. In particular we study the behaviour of the multiplicity by small perturbations of the jumping points. We also introduce a Poincare series for mixed multiplier ideals and prove its rationality. Finally, we study the set of divisors that contribute to the log-canonical wall.

引用

页码：325 / 348

页数：24

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