Filtrations on the Homology of Algebraic Varieties (Memoirs of the American Mathematical Society) - Softcover

Frielander, Eric M.; Mazur, Barry

Softcover

ISBN 10: 0821825917 ISBN 13: 9780821825914

Publisher: Amer Mathematical Society, 1994

Synopsis

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.

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 1994
• ISBN 10: 0821825917
• ISBN 13: 9780821825914
• Binding: Paperback
• Language: English
• Number of pages: 110