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 Logarithmic Algebraic Geometryby Arthur Ogus - University of California, Berkeley
Logarithmic geometry deals with two problems in algebraic geometry: compactification and degeneration. Contents: The geometry of monoids; Log structures and charts; Morphisms of log schemes; Differentials and smoothness; De Rham and Betti cohomology.
(10086 views)
Abel's Theorem and the Allied Theoryby H.F. Baker - Cambridge University Press
This classic book covers the whole of algebraic geometry and associated theories. Baker discusses the subject in terms of transcendental functions, and theta functions in particular. Many of the ideas put forward are of continuing relevance today.
(4357 views)
Algebraic Geometryby Andreas Gathmann - University of Kaiserslautern
From the contents: Introduction; Affine varieties; Functions, morphisms, and varieties; Projective varieties; Dimension; Schemes; First applications of scheme theory; More about sheaves; Cohomology of sheaves; Intersection theory; Chern classes.
(10361 views)
Algebraic Geometry over the Complex Numbersby Donu Arapura - Purdue University
Algebraic geometry is the geometric study of sets of solutions to polynomial equations over a field (or ring). In this book the author maintains a reasonable balance between rigor and intuition; so it retains the informal quality of lecture notes.
(9806 views)