**Mixed Motives**

by Marc Levine

**Publisher**: American Mathematical Society 1998**ISBN/ASIN**: 0821807854**ISBN-13**: 9780821807859**Number of pages**: 523

**Description**:

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.

Download or read it online for free here:

**Download link**

(3.9MB, PDF)

## Similar books

**Lectures on Algebraic Groups**

by

**Alexander Kleshchev**-

**University of Oregon**

Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.

(

**7104**views)

**An Introduction to Semialgebraic Geometry**

by

**Michel Coste**-

**Universite de Rennes**

Semialgebraic geometry is the study of sets of real solutions of systems of polynomial equations and inequalities. These notes present the first results of semialgebraic geometry and related algorithmic issues. Their content is by no means original.

(

**8316**views)

**Lectures on the topological recursion for Higgs bundles and quantum curves**

by

**Olivia Dumitrescu, Motohico Mulase**-

**arXiv**

The paper aims at giving an introduction to the notion of quantum curves. The main purpose is to describe the discovery of the relation between the topological recursion and the quantization of Hitchin spectral curves associated with Higgs bundles.

(

**2074**views)

**Linear Systems Theory and Introductory Algebraic Geometry**

by

**Robert Hermann**-

**Math Sci Press**

Systems theory offers a unified mathematical framework to solve problems in a wide variety of fields. This mathematics is not of the traditional sort involved in engineering education, but involves virtually every field of modern mathematics.

(

**8796**views)