2 papers
math.NT2022
A note on hyperelliptic curves with ordinary reduction over 2-adic fields
Vladimir Dokchitser, Adam Morgan
We study a class of semistable ordinary hyperelliptic curves over 2-adic fields and the special fibre of their minimal regular model. We show that these curves can be controlled us…
math.NT2019
On a BSD-type formula for L-values of Artin twists of elliptic curves
Vladimir Dokchitser, Robert Evans, Hanneke Wiersema
This is an investigation into the possible existence and consequences of a Birch-Swinnerton-Dyer-type formula for L-functions of elliptic curves twisted by Artin representations. W…