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

[41] On the Jacobian Newton polygon of plane curve singularities
Andrzej Lenarcik
[J]. manuscripta mathematica, 2008, 125 : 309 - 324
[42] Iterated inverse images of plane curve singularities
Eduardo Casas-Alvero
Joaquim Roé
[J]. Acta Mathematica Sinica, English Series, 2011, 27 : 2319 - 2328
[43] On the Jacobian Newton polygon of plane curve singularities
Lenarcik, Andrzej
[J]. MANUSCRIPTA MATHEMATICA, 2008, 125 (03) : 309 - 324
[44] Local stable reduction of plane curve singularities
Hassett, B
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2000, 520 : 169 - 194
[45] SINGULARITIES OF BESSEL-ZETA FUNCTIONS AND HAWKINS POLYNOMIALS
STOLARSKY, KB
[J]. MATHEMATIKA, 1985, 32 (63) : 96 - 103
[46] PROPAGATION OF SINGULARITIES AND MAXIMAL FUNCTIONS IN THE PLANE
SOGGE, CD
[J]. INVENTIONES MATHEMATICAE, 1991, 104 (02) : 349 - 376
[47] Topological invariants of isolated complete intersection curve singularities
Perez, V. H. Jorge
Hernandes, M. E.
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2009, 59 (04) : 975 - 987
[48] Complex curve singularities: A biased introduction
Teissler, Bernard
[J]. Singularities in Geometry and Topology, 2005, 2007, : 825 - 887
[49] Topological invariants of isolated complete intersection curve singularities
V. H. Jorge Pérez
M. E. Hernandes
[J]. Czechoslovak Mathematical Journal, 2009, 59 : 975 - 987
[50] Topological representation zeta functions of unipotent groups
Rossmann, Tobias
[J]. JOURNAL OF ALGEBRA, 2016, 448 : 210 - 237

← 1 2 3 4 5 →