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Bifurcations and topology of meromorphic germs

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Gusein-Zade, Sabir Medgidovich and Luengo Velasco, Ignacio and Melle Hernández, Alejandro (2001) Bifurcations and topology of meromorphic germs. In New developments in singularity theory. NATO Science Series (21). Kluwer Academic Publishers, Dordrecht, pp. 279-304. ISBN 0-7923-6996-3

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Official URL: http://link.springer.com/chapter/10.1007/978-94-010-0834-1_12


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Abstract

A meromorphic germ at the origin in the complex space Cn is a ratio of two holomorphic germs on (Cn,0). After presentation of the basic definitions in the general context of arbitrary meromorphic germs the authors study the monodromy by calculating its zeta function. Then they give some results on homology splitting and bouquet-type theorems for the global case of meromorphic functions on compact complex manifolds. Some applications to traditional cases of rational functions on CPn, including in particular polynomial functions on Cn, are considered.


Item Type:Book Section
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Proceedings of the NATO Advanced Study Institute held in Cambridge, July 31–August 11, 2000

Uncontrolled Keywords:meromorphic germs; monodromy; Milnor fibration; bouquet type theorems
Subjects:Sciences > Mathematics > Group Theory
ID Code:20982
Deposited On:22 Apr 2013 15:37
Last Modified:25 Jun 2018 07:25

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