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arXiv:0802.1437 [math.AG]AbstractReferencesReviewsResources

Notes on the biextension of Chow groups

Sergey Gorchinskiy

Published 2008-02-11, updated 2009-03-07Version 2

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.

Comments: 42 pages; sections concerning determinant of cohomology construction are completely changed; several improvements in other parts are made
Categories: math.AG, math.KT
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