12 citations · 23 across the 13 of their papers we have counts for
4 papers · 1 filter
Cycle classes in overconvergent rigid cohomology and a semistable Lefschetz theorem
Christopher Lazda, Ambrus Pál
In this article we prove a semistable version of the variational Tate conjecture for divisors in crystalline cohomology, stating that a rational (logarithmic) line bundle on the sp…
Pathologies of the Brauer-Manin obstruction
Jean-Louis Colliot-Thélène, Ambrus Pál, Alexei N. Skorobogatov
We construct a conic bundle over an elliptic curve over a real quadratic field that is a counterexample to the Hasse principle not explained by the étale Brauer-Manin obstruction.…
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 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,…