Voevodsky motives and ldh-descent / Shane Kelly

Date :

Type : Livre / Book

Langue / Language : anglais / English

Géométrie algébrique

Singularités (mathématiques)

K-théorie

Torsion, Théorie de la (algèbre)

Grothendieck, Groupes de

Relation : Voevodsky motives and ldh-descent / Shane Kelly / Paris : Société mathématique de France , DL 2017

Résumé / Abstract : This work applies Gabber's theorem on alterations to Voevodsky's work on mixed motives. We extend many fundamental theorems to DM(k, Z[1/p]) where p is the exponential characteristic of the perfect field k. Two applications are an isomorphism of Suslin that compares higher Chow groups and étale cohomology, and calculation of the motivic Steenrod algebra.