15 citations · 18 across the 3 of their papers we have counts for
5 papers
New approach to certain real hyper-elliptic integrals
Piotr Krason, Jan Milewski
In this paper we treat certain elliptic and hyper-elliptic integrals in a unified way. We introduce a new basis of these integrals coming from certain basis of polynomials…
On arithmetic in Mordell-Weil groups
Grzegorz Banaszak, Piotr Krason
In this paper we investigate linear dependence of points in Mordell-Weil groups of abelian varieties via reduction maps. In particular we try to determine the conditions for detect…
Detecting linear dependence by reduction maps
Grzegorz Banaszak, Wojciech Gajda, Piotr Krason
We consider the local to global principle for detecting linear dependence of points in groups of the Mordell-Weil type. As applications of our general setting we obtain correspondi…
On the image of l-adic Galois representations for abelian varieties of type I and II
Grzegorz Banaszak, Wojciech Gajda, Piotr Krason
In this paper we investigate the image of the -adic representation attached to the Tate module of an abelian variety over a number field with endomorphism algebra of type I or I…
A support problem for the intermediate Jacobians of l-adic representations
Grzegorz Banaszak, Wojciech Gajda, Piotr Krason
This is a revised version of ANT-0332: "A support problem for the intermediate Jacobians of l-adic representations", by G. Banaszak, W. Gajda & P. Krason, which was placed on these…