Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Triangulated Categories of Mixed Motives
.
Bookmark this Record
Catalogue Record 49818
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 49818
.
Reviews
Catalogue Record 49818
.
British Library
Resolver for RSN-49818
Google Scholar
Resolver for RSN-49818
WorldCat
Resolver for RSN-49818
Catalogo Nazionale SBN
Resolver for RSN-49818
GoogleBooks
Resolver for RSN-49818
ICTP Library
Resolver for RSN-49818
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Triangulated Categories of Mixed Motives ([EBook]) / by Denis-Charles Cisinski, Frédéric Déglise.
Author
Cisinski, Denis-Charles
Added Personal Name
Déglise, Frédéric
Other name(s)
SpringerLink (Online service)
Publication
Cham : Springer International Publishing , 2019.
Physical Details
XLII, 406 pages : 1 illus. : online resource.
Series
Springer monographs in mathematics
ISBN
9783030332426
Summary Note
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 rational coefficients satisfying the full Grothendieck six functors formalism as well as fulfilling Beilinson’s program, in particular the interpretation of rational higher Chow groups as extension groups. Apart from Voevodsky’s entire work and Grothendieck’s SGA4, our main sources are Gabber’s work on étale cohomology and Ayoub’s solution to Voevodsky’s cross functors theory. We also thoroughly develop the theory of motivic complexes with integral coefficients over general bases, along the lines of Suslin and Voevodsky. Besides this achievement, this volume provides a complete toolkit for the study of systems of coefficients satisfying Grothendieck’ six functors formalism, including Grothendieck-Verdier duality. It gives a systematic account of cohomological descent theory with an emphasis on h-descent. It formalizes morphisms of coefficient systems with a view towards realization functors and comparison results. The latter allows to understand the polymorphic nature of rational mixed motives. They can be characterized by one of the following properties: existence of transfers, universality of rational algebraic K-theory, h-descent, étale descent, orientation theory. This monograph is a longstanding research work of the two authors. The first three parts are written in a self-contained manner and could be accessible to graduate students with a background in algebraic geometry and homotopy theory. It is designed to be a reference work and could also be useful outside motivic homotopy theory. The last part, containing the most innovative results, assumes some knowledge of motivic homotopy theory, although precise statements and references are given.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-33242-6
Links to Related Works
Subject References:
Algebraic Geometry
.
Category Theory, Homological Algebra
.
Category theory (Mathematics)
.
Homological algebra
.
K-Theory
.
Authors:
author
.
Cisinski, Denis-Charles
.
Déglise, Frédéric
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Springer monographs in mathematics
.
Classification:
516.35
.
516.35 (DDC 23)
.
.
ISBD Display
Catalogue Record 49818
.
Tag Display
Catalogue Record 49818
.
Related Works
Catalogue Record 49818
.
Marc XML
Catalogue Record 49818
.
Add Title to Basket
Catalogue Record 49818
.
Catalogue Information 49818
Beginning of record
.
Catalogue Information 49818
Top of page
.
Download Title
Catalogue Record 49818
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
49818
1
49818
-
2
49818
-
3
49818
-
4
49818
-
5
49818
-
Quick Search
Search for