12 citations · 23 across the 13 of their papers we have counts for
19 papers
Real projective groups are formal
Ambrus Pál, Gereon Quick
We prove that the mod 2-cohomology algebras of real projective groups are formal. As a consequence we derive the Hopkins-Wickelgren formality and the strong Massey vanishing conjec…
Crystalline Chebotarëv density theorems
Urs Hartl, Ambrus Pal
Using the Tannakian formalism, we formulate conjectural analogs of Chebotarëv's Density Theorem for -isocrystals over a smooth geometrically irreducible variety defined over a f…
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…
The Brauer-Manin obstruction to the local-global principle for the embedding problem
Ambrus Pal, Tomer M. Schlank
We study an analogue of the Brauer-Manin obstruction to the local-global principle for embedding problems over global fields. We will prove the analogues of several fundamental str…
The -adic monodromy group of abelian varieties over global function fields of characteristic
Ambrus Pal
We prove an analogue of the Tate isogeny conjecture and the semi-simplicity conjecture for overconvergent crystalline Dieudonné modules of abelian varieties defined over global fun…
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.…