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Filtrations on the Homology of Algebraic Varieties Book PDF Summary

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.

Detail Book of Filtrations on the Homology of Algebraic Varieties PDF

Filtrations on the Homology of Algebraic Varieties
  • Author : Eric M. Friedlander
  • Release : 20 September 1994
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821825914
  • Genre : Mathematics
  • Total Page : 126 pages
  • Language : English
  • PDF File Size : 13,9 Mb

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