11 citations · 29 across the 12 of their papers we have counts for
13 papers
Generic Manin-Mumford
Lior Bary-Soroker, Borys Kadets
Given a collection of algebraic numbers we study the varieties in such that $V(\mathbb{C})\cap\mathcal{S}^m…
Hilbert irreducibility for algebraic points
Borys Kadets, Danny Neftin
We study the following problem: given a covering of curves over a number field , and an integer , when is the set \[\{p \in X_0(\overline{k})|\ \mathrm{de…
Low degree subvarieties of universal hypersurfaces
Yifeng Huang, Borys Kadets, Olivier Martin
We study irreducible subvarieties of the universal hypersurface of degree and dimension . We prove that when is sufficiently large, a degree subvari…
Exponents of Jacobians and relative class groups
Borys Kadets, Daniel Keliher
We prove a lower bound for the exponent of the relative class group for a covering of curves over a finite field $\mathbb{…
Subspace configurations and low degree points on curves
Borys Kadets, Isabel Vogt
This paper is devoted to understanding curves over a number field that possess infinitely many solutions in extensions of of degree at most ; such solutions are the…
Galois specialization to symmetric points and the inverse Galois problem up to
Borys Kadets
The paper is concerned with the following version of Hilbert's irreducibility theorem: if is a Galois -covering of varieties over a number field and $H \subset…