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Filtrations on the Homology of Algebraic Varieties
     

Filtrations on the Homology of Algebraic Varieties

by Eric M. Friedlander, Barry Mazur
 

ISBN-10: 0821825917

ISBN-13: 9780821825914

Pub. Date: 08/15/1994

Publisher: American Mathematical Society

This work provides a detailed exposition of a classical topic from a very recent viewpoint. Friedlander and Mazur describe some foundational aspects of ''Lawson homology'' for complex projective algebraic varieties, a homology theory defined in terms of homotopy groups of spaces of algebraic cycles. Attention is paid to methods of group completing abelian

Overview

This work provides a detailed exposition of a classical topic from a very recent viewpoint. Friedlander and Mazur describe some foundational aspects of ''Lawson homology'' for complex projective algebraic varieties, a homology theory defined in terms of homotopy groups of spaces of algebraic cycles. Attention is paid to methods of group completing abelian topological monoids. The authors study properties of Chow varieties, especially in connection with algebraic correspondences relating algebraic varieties. Operations on Lawson homology are introduced and analyzed. These operations lead to a filtration on the singular homology of algebraic varieties, which is identified in terms of correspondences and related to classical filtrations of Hodge and Grothendieck.

Product Details

ISBN-13:
9780821825914
Publisher:
American Mathematical Society
Publication date:
08/15/1994
Series:
Memoirs of the American Mathematical Society Series , #52
Pages:
110
Product dimensions:
7.09(w) x 10.04(h) x (d)

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