Memoires de la Societe Mathematique de France
Volume: 140; 2015; 386 pp; Softcover
MSC: Primary 14;
Print ISBN: 978-2-85629-811-4
Product Code: SMFMEM/140/141
List Price: $90.00
Individual Member Price: $72.00
Motifs des Variétés Analytiques RigidesShare this page
A publication of the Société Mathématique de France
In this work, the author extends the theory of motives, as developed by Voevodsky and Morel-Voevodsky, to the context of rigid analytic geometry over a complete nonarchimedean field.
The first chapter deals with the homotopical approach of Morel and Voevodsky. In this chapter the author discusses the construction of the motivic stable homotopy category of rigid analytic varieties and a complete description of this category in terms of algebraic motives when the base field has equal characteristic zero and its valuation is discrete.
The second chapter deals with Voevodsky's approach based on transfers. In this chapter the author discusses the construction of the triangulated category of rigid analytic motives, and an extension to rigid analytic geometry of a large number of Voevodsky's fundamental results such as his theory of homotopy invariants presheaves with transfers.
The present work is a lot more than just a mere copy of the classical theory and the reader will find a lot of results that are new and specific to rigid analytic geometry.
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
Motifs des Varietes Analytiques Rigides
Graduate students and research mathematicians.