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Fibre de Milnor motivique à l’infini et composition avec un polynôme non dégénéré

Michel Raibaut (2012)

Annales de l’institut Fourier

Soit k un corps de caractéristique nulle, P un polynôme de Laurent en d variables, à coefficients dans k et non dégénéré pour son polyèdre de Newton à l’infini. Soit d fonctions non constantes f l à variables séparées et définies sur des variétés lisses. A la manière de Guibert, Loeser et Merle, dans le cas local, nous calculons dans cet article, la fibre de Milnor motivique à l’infini de la composée P ( f ) en termes du polyèdre de Newton à l’infini de P . Pour P égal à la somme x 1 + x 2 nous obtenons une formule...

Fibrés uniformes de rang élevé sur 2

Georges Elencwajg (1981)

Annales de l'institut Fourier

Un fibré vectoriel holomorphe sur P 2 est dit uniforme si ses images réciproques sous tous les plongements linéaires P 1 P 2 sont isomorphes. Nous classons les fibrés uniformes de rang 4 sur P 2 .

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