Mixed Motives

Mixed Motives
Author :
Publisher : American Mathematical Soc.
Total Pages : 529
Release :
ISBN-10 : 9780821807859
ISBN-13 : 0821807854
Rating : 4/5 (854 Downloads)

Book Synopsis Mixed Motives by : Marc Levine

Download or read book Mixed Motives written by Marc Levine and published by American Mathematical Soc.. This book was released on 1998 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry. The author constructs and describes a triangulated category of mixed motives over an arbitrary base scheme. Most of the classical constructions of cohomology are described in the motivic setting, including Chern classes from higher $K$-theory, push-forward for proper maps, Riemann-Roch, duality, as well as an associated motivic homology, Borel-Moore homology and cohomology with compact supports.


Mixed Motives Related Books

Mixed Motives
Language: ja
Pages: 529
Authors: Marc Levine
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

GET EBOOK

This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for
Triangulated Categories of Mixed Motives
Language: en
Pages: 442
Authors: Denis-Charles Cisinski
Categories: Mathematics
Type: BOOK - Published: 2019-11-09 - Publisher: Springer Nature

GET EBOOK

The primary aim of this monograph is to achieve part of Beilinson’s program on mixed motives using Voevodsky’s theories of A1-homotopy and motivic complexes
Mixed Motives and Algebraic K-Theory
Language: en
Pages: 260
Authors: Uwe Jannsen
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

GET EBOOK

The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of i
Lectures on the Theory of Pure Motives
Language: en
Pages: 163
Authors: Jacob P. Murre
Categories: Mathematics
Type: BOOK - Published: 2013-04-11 - Publisher: American Mathematical Soc.

GET EBOOK

The theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomology theory for algebraic varieties. The theory of pure moti
Periods and Nori Motives
Language: en
Pages: 381
Authors: Annette Huber
Categories: Mathematics
Type: BOOK - Published: 2017-03-08 - Publisher: Springer

GET EBOOK

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s a