The motivic real Milnor fibres

被引:1
|
作者
Fichou, Goulwen [1 ]
机构
[1] Univ Rennes 1, Inst Math Rennes, F-35042 Rennes, France
关键词
ALGEBRAIC-VARIETIES; EQUIVALENCE; INVARIANTS; SETS;
D O I
10.1007/s00229-011-0511-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a polynomial with real coefficients, we produce a motivic analog of a simple identity that relates the complex conjugation and the monodromy of the Milnor fibre of its complexification. To that purpose, we introduce motivic zeta functions that take into account complex conjugation and monodromy.
引用
收藏
页码:167 / 178
页数:12
相关论文
共 50 条
  • [1] The motivic real Milnor fibres
    Goulwen Fichou
    Manuscripta Mathematica, 2012, 139 : 167 - 178
  • [2] REAL MILNOR FIBRES AND PUISEUX SERIES
    Fichou, Goulwen
    Shiota, Masahiro
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2017, 50 (05): : 1205 - 1240
  • [3] MOTIVIC MILNOR CLASSES
    Yokura, Shoji
    JOURNAL OF SINGULARITIES, 2010, 1 : 39 - 59
  • [4] Topological invariants of real Milnor fibres
    Zbigniew Szafraniec
    manuscripta mathematica, 2003, 110 : 159 - 169
  • [5] Topological invariants of real Milnor fibres
    Szafraniec, Z
    MANUSCRIPTA MATHEMATICA, 2003, 110 (02) : 159 - 169
  • [6] ON THE EULER CHARACTERISTIC OF REAL MILNOR FIBRES
    Hamm, Helmut A.
    JOURNAL OF SINGULARITIES, 2014, 10 : 147 - 156
  • [7] Grothedieck ring of semialgebraic formulas and motivic real Milnor fibers
    Comte, Georges
    Fichou, Goulwen
    GEOMETRY & TOPOLOGY, 2014, 18 (02) : 963 - 996
  • [8] A motivic Milnor fiber at infinity
    Raibaut, Michel
    COMPTES RENDUS MATHEMATIQUE, 2010, 348 (7-8) : 419 - 422
  • [9] Milnor excision for motivic spectra
    Elmanto, Elden
    Hoyois, Marc
    Iwasa, Ryomei
    Kelly, Shane
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2021, 779 : 223 - 235
  • [10] Motivic integration and Milnor fiber
    Fichou, Goulwen
    Yin, Yimu
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2022, 24 (05) : 1617 - 1678