Mixed motives
Marc Levine
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.
Categorias:
Ano:
1998
Editora:
American Mathematical Society
Idioma:
english
Páginas:
523
ISBN 10:
0821807854
ISBN 13:
9780821807859
Série:
Mathematical surveys and monographs 57
Arquivo:
PDF, 3.56 MB
IPFS:
,
english, 1998