TOPOLOGICAL ZETA FUNCTIONS OF COMPLEX PLANE CURVE SINGULARITIES

被引：0

作者：

Le, Quy Thuong ^{[1
]}

Nguyen, Khanh Hung ^{[2
]}

机构：

[1] Vietnam Natl Univ, VNU Univ Sci, 334 Nguyen Trai St, Hanoi, Vietnam

[2] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam

来源：

OSAKA JOURNAL OF MATHEMATICS | 2023年 / 60卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study topological zeta functions of complex plane curve singularities using toric modifications and further developments. As applications of the research method, we prove that the topological zeta function is a topological invariant for complex plane curve singularities, we give a short and new proof of the monodromy conjecture for plane curves.

引用

页码：305 / 321

页数：17

共 50 条

[31] Examples: Families Associated with Plane Curve Singularities
Nemethi, Andras
Szilard, Agnes
MILNOR FIBER BOUNDARY OF A NON-ISOLATED SURFACE SINGULARITY, 2012, 2037 : 83 - 97
[32] MODULI OF PLANE CURVE SINGULARITIES .1.
WASHBURN, S
JOURNAL OF ALGEBRA, 1979, 56 (01) : 91 - 102
[33] Iterated inverse images of plane curve singularities
Casas-Alvero, Eduardo
Roe, Joaquim
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (12) : 2319 - 2328
[34] Motivic Milnor Fibers of Plane Curve Singularities
Lê Q.T.
Vietnam Journal of Mathematics, 2018, 46 (3) : 493 - 506
[35] Auslander algebras and simple plane curve singularities
Bilodeau, J
Representations of Algebras and Related Topics, 2005, 45 : 99 - 107
[36] A CHARACTERIZATION OF STRICTLY UNIMODULAR PLANE CURVE SINGULARITIES
SCHAPPERT, A
LECTURE NOTES IN MATHEMATICS, 1987, 1273 : 168 - 177
[37] On the topology of the image by a morphism of plane curve singularities
Delgado, F.
Maugendre, H.
REVISTA MATEMATICA COMPLUTENSE, 2014, 27 (02): : 369 - 384
[38] ON THE ANALYTIC CLASSIFICATION OF IRREDUCIBLE PLANE CURVE SINGULARITIES
Casas-Alvero, Eduardo
ASIAN JOURNAL OF MATHEMATICS, 2021, 25 (05) : 597 - 640
[39] DEFORMATIONS OF SINGULARITIES OF PLANE CURVES: TOPOLOGICAL APPROACH
Borodzik, Maciej
OSAKA JOURNAL OF MATHEMATICS, 2014, 51 (03) : 573 - 583
[40] On the topology of the image by a morphism of plane curve singularities
F. Delgado
H. Maugendre
Revista Matemática Complutense, 2014, 27 : 369 - 384

← 1 2 3 4 5 →