41 citations · 180 across the 49 of their papers we have counts for
4 papers · 1 filter
On varieties of Hilbert type
Lior Bary-Soroker, Arno Fehm, Sebastian Petersen
A variety X over a field K is of Hilbert type if the set of rational points X(K) is not thin. We prove that if f: X\to S is a dominant morphism of K-varieties and both S and all fi…
Subgroup structure of fundamental groups in positive characteristic
Lior Bary-Soroker, Manish Kumar
Let be the étale fundamental group of a smooth affine curve over an algebraically closed field of characteristic . We establish a criterion for profinite freeness of close…
Open Problems in the Theory of Ample Fields
Lior Bary-Soroker, Arno Fehm
Fifteen years after their discovery, ample fields now stand at the center of research in contemporary Galois theory and attract more and more attention also from other areas of mat…
On p-embedding problems in characteristic p
Lior Bary-Soroker, Nguyen Duy Tan
Let K be a valued field of characteristic p>0 with non-p-divisible value group. We show that every finite embedding problem for K whose kernel is a p-group is properly solvable.