The monodromy conjecture for plane meromorphic germs

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Publication:5419230

DOI10.1112/BLMS/BDT098zbMATH Open1348.14008arXiv1301.4878OpenAlexW1987827977WikidataQ123133009 ScholiaQ123133009MaRDI QIDQ5419230

Author name not available (Why is that?)

Publication date: 6 June 2014

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1301.4878



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