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Notes on the biextension of Chow groups

Authors
  • Gorchinskiy, Sergey
Type
Published Article
Publication Date
Mar 07, 2009
Submission Date
Feb 11, 2008
Source
arXiv
License
Yellow
External links

Abstract

The paper discusses four approaches to the biextension of Chow groups and their equivalences. These are the following: an explicit construction given by S.Bloch, a construction in terms of the Poincare biextension of dual intermediate Jacobians, a construction in terms of K-cohomology, and a construction in terms of determinant of cohomology of coherent sheaves. A new approach to J.Franke's Chow categories is given. An explicit formula for the Weil pairing of algebraic cycles is obtained.

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