Simplicity of twists of abelian varieties
We give some easy necessary and sufficient criteria for twists of abelian varieties by Artin representations to be simple.
We give some easy necessary and sufficient criteria for twists of abelian varieties by Artin representations to be simple.
We prove an analogue of the convergence part of Khintchine’s theorem for the simultaneous inhomogeneous Diophantine approximation on the Veronese curve with respect to the different valuations. It is an extension of the author’s earlier results.