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- PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (HYDERABAD, INDIA, 19 – 27 AUGUST 2010

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### Notes on the biextension of Chow groups

, 2009

"... 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 Poincaré biextension of dual intermediate Jacobians, a construction in terms of K-cohomology, and a constru ..."

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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 Poincaré 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.