Motivic Milnor fibers of a rational function

被引：7

作者：

Raibaut, Michel ^{[1
]}

机构：

[1] Univ Paris 06, Inst Math Jussieu, F-75252 Paris 5, France

来源：

REVISTA MATEMATICA COMPLUTENSE | 2013年 / 26卷 / 02期

关键词：

Algebraic Geometry; Singularities; Meromorphic function; Milnor fiber; Monodromy; Bifurcation set; Vanishing cycles; Mixed Hodge modules; Motivic integration; Motivic Milnor fiber; BIFURCATION SET; ARC SPACES; SINGULARITIES; TOPOLOGY; NUMBERS;

D O I：

10.1007/s13163-013-0118-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, following the approach of Denef and Loeser, we define motivic Milnor fibers of a rational function corresponding to its topological Milnor fibers considered by Gusein-Zade, Luengo and Melle-Hernandez.

引用

页码：705 / 734

页数：30

共 41 条

[1] ZETA FUNCTION OF A MONODROMY [J].

ACAMPO, N .

COMMENTARII MATHEMATICI HELVETICI, 1975, 50 (02) :233-248

[2]

[Anonymous], 2008, A Series of Modern Surveys in Mathematics

[3] On motivic zeta functions and the motivic nearby fiber [J].

Bittner, F .

MATHEMATISCHE ZEITSCHRIFT, 2005, 249 (01) :63-83

[4]

Bodin A, 2007, MATH RES LETT, V14, P413

[5] Milnor fibrations of meromorphic functions [J].

Bodin, Arnaud ;

Pichon, Anne ;

Seade, Jose .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2009, 80 :311-325

[6] MILNOR NUMBERS AND THE TOPOLOGY OF POLYNOMIAL HYPERSURFACES [J].

BROUGHTON, SA .

INVENTIONES MATHEMATICAE, 1988, 92 (02) :217-241

[7]

CASSOU-NOGUKS P., 1999, KODAI MATH J, V22, P131

[8] Germs of arcs on singular algebraic varieties and motivic integration [J].

Denef, J ;

Loeser, F .

INVENTIONES MATHEMATICAE, 1999, 135 (01) :201-232

[9]

Denef J, 2001, PROG MATH, V201, P327

[10] Lefschetz numbers of iterates of the monodromy and truncated arcs [J].

Denef, J ;

Loeser, F .

TOPOLOGY, 2002, 41 (05) :1031-1040

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