71 citations · 395 across the 32 of their papers we have counts for
Showing 2007Show all
2 papers · 1 filter
math.NT2007★ 71 cited
Regulator constants and the parity conjecture
Tim Dokchitser, Vladimir Dokchitser
The p-parity conjecture for twists of elliptic curves relates multiplicities of Artin representations in p-infinity Selmer groups to root numbers. In this paper we prove this conje…
math.NT2007★ 24 cited
Self-duality of Selmer groups
Tim Dokchitser, Vladimir Dokchitser
The first part of the paper gives a new proof of self-duality for Selmer groups: if A is an abelian variety over a number field K, and F/K is a Galois extension with Galois group G…