Publication Date:
2014-05-17
Description:
A notion of Milnor fibration for meromorphic functions and the corresponding concepts of monodromy and monodromy zeta function have been introduced by Gusein-Zade, Luengo and Melle-Hernández [‘Zeta functions for germs of meromorphic functions, and Newton diagrams’, Funct. Anal. Appl. 32 (1998)]. In this article, we define the topological zeta function for meromorphic germs and we study its poles in the plane case. We show that the poles do not behave as in the holomorphic case but still do satisfy a generalization of the monodromy conjecture.
Print ISSN:
0024-6093
Electronic ISSN:
1469-2120
Topics:
Mathematics
Permalink