no. 9-10
Algebraic Geometry
Motivic Milnor fibers of a rational function
[Fibres de Milnor motiviques dʼune fraction rationnelle]

Présenté par : Claire Voisin

Raibaut, Michel1
1 Institut de mathématiques de Jussieu, 4, place Jussieu, case 247, 75252 Paris cedex 5, France
Comptes Rendus. Mathématique, Tome 350 (2012) no. 9-10, pp. 519-524.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2012.04.021
Raibaut, Michel 1

1 Institut de mathématiques de Jussieu, 4, place Jussieu, case 247, 75252 Paris cedex 5, France 
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Raibaut, Michel. Motivic Milnor fibers of a rational function. Comptes Rendus. Mathématique, Tome 350 (2012) no. 9-10, pp. 519-524. doi : 10.1016/j.crma.2012.04.021. http://www.numdam.org/articles/10.1016/j.crma.2012.04.021/

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