Notes on the biextension of Chow groups

Details Notes on the biextension of Chow groups Notes on the biextension of Chow groups

2008-02-11

arxiv.org/abs/0802.1437v2

Mathematics

Algebraic Geometry

42 pages; sections concerning determinant of cohomology construction are completely changed; several improvements in other par

Scientific paper

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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