Motivic Milnor fibers of a rational function

被引：0
作者：
Michel Raibaut
机构：
[1] Université Pierre and Marie Curie,
[2] Institut de Mathématiques de Jussieu,undefined
来源：
Revista Matemática Complutense | 2013年 / 26卷
关键词：
Algebraic Geometry; Singularities; Meromorphic function; Milnor fiber; Monodromy; Bifurcation set; Vanishing cycles; Mixed Hodge modules; Motivic integration ; Motivic Milnor fiber;
D O I：
暂无
中图分类号：
学科分类号：
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–Hernández.
引用
收藏
页码：705 / 734
页数：29
相关论文
共 44 条
[1]  
A’Campo N(1975)La fonction zêta d’une monodromie Comment. Math. Helv. 50 233-248
[2]  
Bittner F.(2005)On motivic zeta functions and the motivic nearby fiber Math. Z. 249 63-83
[3]  
Bodin A.(2007)Meromorphic functions, bifurcation sets and fibred links Math. Res. Lett. 14 413-422
[4]  
Pichon A.(2009)Milnor fibrations of meromorphic functions J. Lond. Math. Soc. (2) 82 311-325
[5]  
Bodin A.(1988)Milnor numbers and the topology of polynomial hypersurfaces Invent. Math. 92 217-241
[6]  
Pichon A.(1999)Topology of complex polynomials via polar curves Kodai Math. J. 22 131-139
[7]  
Seade J.(1998)Motivic Igusa zeta functions J. Algebraic Geom. 7 505-537
[8]  
Broughton SA(1999)Germs of arcs on singular algebraic varieties and motivic integration Invent. Math. 135 201-232
[9]  
Cassou-Noguès P(2002)Lefschetz numbers of iterates of the monodromy and truncated arcs Topology 41 1031-1040
[10]  
Dimca A(2002)Espaces d’arcs et invariants d’ Alexander Comment. Math. Helv. 77 783-820
12345