Algebraic Geometry Seminar
Sergey Gorchinsky
Steklov Institute
Adelic resolution and its applications
Abstract: We discuss a new type of resolutions, called adelic resolutions,
for a certain class of abelian sheaves on algebraic varieties.
This class includes sheaves of K-groups. Adelic resolutions are
multiplicative and contravariant (in contrast with the Gersten
resolution). There is an explicit quasiisomorphism between the
adelic and Gersten resolutions. In particular, this allows to
describe (higher) products on Chow groups and biextensions over
Chow groups in terms of the adelic resolution.
Thursday January 15, 2009 at 4:00 PM in SEO 636