41 citations · 180 across the 49 of their papers we have counts for
4 papers · 1 filter
Subgroups of profinite surface groups
Lior Bary-Soroker, Katherine F. Stevenson, Pavel Zalesskii
We study the subgroup structure of the étale fundamental group of a projective curve over an algebraically closed field of characteristic 0. We obtain an analog of the diamond…
Irreducibility and embedding problems
Lior Bary-Soroker
We study irreducible specializations, in particular when group-preserving specializations may not exist. We obtain a criterion in terms of embedding problems. We include several ap…
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.
Irreducible values of polynomials
Lior Bary-Soroker
Schinzel's Hypothesis H is a general conjecture in number theory on prime values of polynomials that generalizes, e.g., the twin prime conjecture and Dirichlet's theorem on primes…