The monodromy conjecture for plane meromorphic germs
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...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1 February 2014
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| In: |
Bulletin of the London Mathematical Society
Year: 2014, Volume: 46, Issue: 3, Pages: 441-453 |
| ISSN: | 1469-2120 |
| DOI: | 10.1112/blms/bdt098 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1112/blms/bdt098 Verlag, lizenzpflichtig, Volltext: https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/blms/bdt098 
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| Author Notes: | Manuel González Villa and Ann Lemahieu |
| Summary: | 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. |
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| Item Description: | Gesehen am 18.08.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1469-2120 |
| DOI: | 10.1112/blms/bdt098 |