12 citations · 23 across the 13 of their papers we have counts for
4 papers · 1 filter
Hodge theory and the Mordell-Weil rank of elliptic curves over extensions of function fields
Ambrus Pal
We use Hodge theory to prove a new upper bound on the ranks of Mordell-Weil groups for elliptic curves over function fields after regular geometrically Galois extensions of the bas…
On the Chow groups of certain geometrically rational 5-folds
Ambrus Pal
We give an explicit regular model for the quadric fibration studied in Pirutka (2011). As an application we show that this construction furnishes a counterexample for the integral…
On the nilpotent section conjecture for finite group actions on curves
Ambrus Pal
We give a new, geometric proof of the section conjecture for fixed points of finite group actions on projective curves of positive genus defined over the field of complex numbers,…
Solvable points on genus one curves over local fields
Ambrus Pal
Let be a field complete with respect to a discrete valuation whose residue field is perfect of characteristic . We prove that every smooth, projective, geometrically irred…