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Journal of the London Mathematical Society Advance Access originally published online on June 15, 2009
Journal of the London Mathematical Society 2009 80(2):311-325; doi:10.1112/jlms/jdp027
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© 2009 London Mathematical Society

Milnor fibrations of meromorphic functions

Arnaud Bodin

Laboratoire Paul Painlevé
Université de Lille 1
59655 Villeneuve d’Ascq
France
Arnaud.Bodin@math.univ-lille1.fr

Anne Pichon

Institut de Mathématiques de Luminy
UMR 6206 CNRS
Campus de Luminy Case 907
13288 Marseille cedex 9
France
pichon@iml.univ-mrs.fr

José Seade

Instituto de Matemáticas
Unidad Cuernavaca
Universidad Nacional Autónoma de México
Av. Universidad s/n
Lomas de Chamilpa
62210 Cuernavaca
Morelos, A. P. 273-3
México

In analogy with the holomorphic case, we compare the topology of Milnor fibrations associated to a meromorphic germ f / g: the local Milnor fibrations given on Milnor tubes over punctured discs around the critical values of f / g, and the Milnor fibration on a sphere.

2000 Mathematics Subject Classification 14J17, 32S25, 57M25.

The research for this article was partially supported by the CIRM at Luminy, France, through a ‘Groupe de Travail’; there was also partial financial support from the Institut de Mathématiques de Luminy and from CONACYT and PAPIIT-UNAM, Mexico.

Received April 7, 2008; revised January 20, 2009; published online June 15, 2009.


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