Triangulated Categories of Mixed Motives

• Main Authors: Cisinski, Denis-Charles (Author, http://id.loc.gov/vocabulary/relators/aut), Déglise, Frédéric (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Monographs in Mathematics,
• Subjects: Algebraic geometry.; Category theory (Mathematics).; Homological algebra.; K-theory.; Algebraic Geometry.; Category Theory, Homological Algebra.; K-Theory.

The primary aim of this monograph is to achieve part of Beilinson's program on mixed motives using Voevodsky's theories of $\mathbb{A}^1$-homotopy and motivic complexes. Historically, this book is the first to give a complete construction of a triangulated category of mixed motives with ra...

Table of Contents:

• Introduction
• Part I Fibred categories and the six functors formalism
• Part II Construction of fibred categories
• Part III Motivic complexes and relative cycles
• Part IV Beilinson motives and algebraic K-theory
• References
• Index
• Notation
• Index of properties of P-fibred triangulated categories.