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
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
收藏
页码:305 / 321
页数:17
相关论文
共 50 条
  • [21] Resolution of singularities for C∞ functions and meromorphy of local zeta functions
    Kamimoto, Joe
    JOURNAL OF FUNCTIONAL ANALYSIS, 2024, 286 (01)
  • [22] Combinatorial analogs of topological zeta functions
    van der Veer, Robin
    DISCRETE MATHEMATICS, 2019, 342 (09) : 2680 - 2693
  • [23] On the smallest poles of topological zeta functions
    Segers, D
    Veys, W
    COMPOSITIO MATHEMATICA, 2004, 140 (01) : 130 - 144
  • [24] ZETA FUNCTION OF DEGENERATE PLANE CURVE SINGULARITY
    Le Quy Thuong
    OSAKA JOURNAL OF MATHEMATICS, 2012, 49 (03) : 687 - 697
  • [25] SINGULARITIES OF THE DUAL CURVE OF A CERTAIN PLANE CURVE IN POSITIVE CHARACTERISTIC
    Komeda, Kosuke
    KODAI MATHEMATICAL JOURNAL, 2021, 44 (01) : 166 - 180
  • [26] A bound for the Milnor number of plane curve singularities
    Ploski, Arkadiusz
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (05): : 688 - 693
  • [27] MULTIPLICITY AND LATTICE COHOMOLOGY OF PLANE CURVE SINGULARITIES
    Kubasch, Alexander A.
    Nemethi, Andras
    Schefler, Gergo
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2024, 69 (02): : 191 - 234
  • [28] On the freeness of equisingular deformations of plane curve singularities
    Damon, J
    TOPOLOGY AND ITS APPLICATIONS, 2002, 118 (1-2) : 31 - 43
  • [29] Improving the computation of invariants of plane curve singularities
    Binyamin, Muhammad Ahsan
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2013, 21 (01): : 51 - 57
  • [30] A note on the plane curve singularities in positive characteristic
    Barroso, E. V. E. L. I. A. R. GARCiA
    Ploski, Arkadiusz
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2024, 67 (03): : 375 - 386