**Astérisque**

Volume: 314;
2007;
464 pp;
Softcover

MSC: Primary 14; 18; 19;
**Print ISBN: 978-2-85629-244-0
Product Code: AST/314**

List Price: $132.00

Individual Member Price: $118.80

# Les Six Opérations de Grothendieck et le Formalisme des Cycles Évanescents dans le Monde Motivique (I)

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*Joseph Ayoub*

A publication of the Société Mathématique de France

By the work of Morel, Voevodsky, and other mathematicians, one has the
notion of the *stable motivic homotopy type* of a
smooth \(S\)-scheme. This object lives in the *stable homotopy
category* of \(S\)-schemes

This work consists of two volumes and each of them is divided into
two chapters. In the first chapter, the author shows that from the
viewpoint of functoriality, the categories

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Table of Contents

# Table of Contents

## Les Six Operations de Grothendieck et le Formalisme des Cycles Evanescents dans le Monde Motivique (I)

#### Readership

Graduate students and research mathematicians interested in algebra and algebraic geometry.