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.
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页码：325 / 348
页数：24
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