Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497250 | Journal of Pure and Applied Algebra | 2005 | 17 Pages |
Abstract
Let A be an abelian variety over a field k. We consider
CH0(A) as a ring under Pontryagin product and relate powers of the ideal
IâCH0(A) of degree zero elements to powers of the algebraic equivalence relation. We also consider a filtration
F0âF1â⦠on the Chow groups of varieties of the form
TÃkA (defined using Pontryagin products on
AÃkA considered as an A-scheme via projection on the first factor) and prove that
Fr coincides with the r-fold product
(F1)*r as adequate equivalence relations on the category of all such varieties.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Reza Akhtar,