Support problem for the intermediate Jacobians of l-adic representations

We consider the support problem of Erdös in the context of l-adic representations of the absolute Galois group of a number field. Main applications of the results of the paper concern Galois cohomology of the Tate module of abelian varieties with real and complex multiplications, the algebraic K-the...

Full description

Saved in:
Bibliographic Details
Published in:Journal of number theory 2003-05, Vol.100 (1), p.133-168
Main Authors: Banaszak, G., Gajda, W., Krasoń, P.
Format: Article
Language:English
Subjects:
Abelian variety
Intermediate Jacobians
K-theory
l-Adic representations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the support problem of Erdös in the context of l-adic representations of the absolute Galois group of a number field. Main applications of the results of the paper concern Galois cohomology of the Tate module of abelian varieties with real and complex multiplications, the algebraic K-theory groups of number fields and the integral homology of the general linear group of rings of integers. We answer the question of Corrales-Rodrigáñez and Schoof concerning the support problem for higher dimensional abelian varieties.
ISSN:0022-314X
1096-1658
DOI:10.1016/S0022-314X(02)00122-1