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Mixed Motives Book PDF Summary

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.

Detail Book of Mixed Motives PDF

Mixed Motives
  • Author : Marc Levine
  • Release : 01 October 1998
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821807859
  • Genre : Mathematics
  • Total Page : 529 pages
  • Language : English
  • PDF File Size : 9,8 Mb

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