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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 analysed. 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." Full Product DetailsAuthor: Eric M. Friedlander , Barry MazurPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 529 Weight: 0.227kg ISBN: 9780821825914ISBN 10: 0821825917 Pages: 110 Publication Date: 30 August 1994 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Questions and speculations Abelian monoid varieties Chow varieties and Lawson homology Correspondences and Lawson homology Multiplication of algebraic cycles Operations in Lawson homology Filtrations Appendix A. Mixed Hodge structures, homology, and cycle classes Appendix B. Trace maps and the Dold-Thom theorem Appendix Q. On the group completion of a simplicial monoid Bibliography.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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