Groupe fondamental premier à p, nombre de Milnor des singularités isolées, motifs de dimension inférieure ou égale à 1

Abstract : This works is divided into three independent chapters.
In the first one, various results are proved relating to the largest quotient of the étale fundamental group prime to the residual characteristics, including the Künneth formula and invariance under change of separably closed field for schemes of finite type over a field. These are derived from general facts about direct images of stacks, once specialized to the case of torsors under a constant finite group of invertible order over the base. Analogous results for the tame fundamental group are discussed as well.

In the second chapter, we deduce from the conductor formula, conjectured by S. Bloch, the relation predicted by P. Deligne between the total dimension of the vanishing cycles and the Milnor number of an isolated singularity. Thanks to S. Bloch's work, we can apply this result to relative curves.

In the last chapter, 1-isomotives over a field, in the sense of P. Deligne, are compared to those introduced by V. Voevodsky.
Document type :
Theses
Complete list of metadatas

https://tel.archives-ouvertes.fr/tel-00004093
Contributor : Fabrice Orgogozo <>
Submitted on : Tuesday, January 6, 2004 - 3:29:58 PM
Last modification on : Thursday, March 28, 2019 - 4:09:10 AM
Long-term archiving on : Wednesday, November 23, 2016 - 4:03:09 PM

Identifiers

  • HAL Id : tel-00004093, version 2

Citation

Fabrice Orgogozo. Groupe fondamental premier à p, nombre de Milnor des singularités isolées, motifs de dimension inférieure ou égale à 1. Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2003. Français. ⟨tel-00004093v2⟩

Share

Metrics

Record views

457

Files downloads

340