Notes on the biextension of Chow groups
Algebraic Geometry
2018-03-29 v2 K-Theory and Homology
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.
Cite
@article{arxiv.0802.1437,
title = {Notes on the biextension of Chow groups},
author = {Sergey Gorchinskiy},
journal= {arXiv preprint arXiv:0802.1437},
year = {2018}
}
Comments
42 pages; sections concerning determinant of cohomology construction are completely changed; several improvements in other parts are made