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Comptes Rendus Mathématique
Volume 350, n° 9-10
pages 519-524 (mai 2012)
Doi : 10.1016/j.crma.2012.04.021
Received : 15 February 2012 ;  accepted : 27 April 2012
Motivic Milnor fibers of a rational function
Fibres de Milnor motiviques dʼune fraction rationnelle

Michel Raibaut
Institut de mathématiques de Jussieu, 4, place Jussieu, case 247, 75252 Paris cedex 5, France 


Let P and Q be two complex polynomials and f be the induced rational function. In this Note we define a motivic Milnor fiber of the germ of f at an indeterminacy point x for a value a , a motivic Milnor fiber of f for a value a and finally motivic bifurcation sets.

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Soit P et Q deux polynômes à coefficients complexes et f lʼapplication rationnelle quotient induite. Dans cette Note nous introduisons une fibre de Milnor motivique du germe de f en un point dʼindétermination x pour une valeur a , puis une fibre de Milnor motivique de f pour une valeur a et enfin des ensembles de bifurcation motiviques.

The full text of this article is available in PDF format.

© 2012  Published by Elsevier Masson SAS de la part de Académie des sciences.
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