The monodromy conjecture for plane meromorphic germs
Algebraic Geometry
2013-01-22 v1
Abstract
A notion of Milnor fibration for meromorphic functions and the corresponding concepts of monodromy and monodromy zeta function have been introduced in [GZLM1]. 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.
Keywords
Cite
@article{arxiv.1301.4878,
title = {The monodromy conjecture for plane meromorphic germs},
author = {Manuel González Villa and Ann Lemahieu},
journal= {arXiv preprint arXiv:1301.4878},
year = {2013}
}