Mixed Motives

This book PDF is perfect for those who love Mathematics genre, written by Marc Levine and published by American Mathematical Soc. which was released on 17 June 1998 with total hardcover pages 515. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Mixed Motives books below.

Mixed Motives

Author	: Marc Levine
File Size	: 53,9 Mb
Publisher	: American Mathematical Soc.
Language	: English
Release Date	: 17 June 1998
ISBN	: 9780821807859
Pages	: 515 pages

Get Book

Mixed Motives by Marc Levine Book PDF Summary

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 by Marc Levine

Get Book

Triangulated Categories of Mixed Motives by Denis-Charles Cisinski,Frédéric Déglise

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. Historically, this book is the first to give a complete construction of a triangulated category of mixed motives with rational coefficients satisfying the

Get Book

Mixed Motives and Algebraic K Theory by Uwe Jannsen

The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus

Get Book

Mixed Motives and their Realization in Derived Categories by Annette Huber

The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. The monograph describes the approach to motives via their well-defined realizations. This includes a review of several known cohomology theories. A new absolute cohomology is introduced and studied. The book assumes knowledge of the

Get Book

Periods and Nori Motives by Annette Huber,Stefan Müller-Stach

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 approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to

Get Book

Motives by Anonim

'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held

Get Book

Noncommutative Geometry Quantum Fields and Motives by Alain Connes,Matilde Marcolli

The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, where the guiding principle is the problem of developing a quantum theory

Get Book

Motives by Uwe Jannsen

Get Book