Borys Kadets

activity

20182026

most citedLarge arboreal Galois representations

11 citations · 29 across the 12 of their papers we have counts for

collaborators

Showing math.NTShow all

8 papers · 1 filter

math.NT2026

Generic Manin-Mumford

Lior Bary-Soroker, Borys Kadets

Given a collection of algebraic numbers $S \subset Q$ we study the varieties $V$ in $A_{C}^{m}$ such that $V(\mathbb{C})\cap\mathcal{S}^m…

math.NT2026

Hilbert irreducibility for algebraic points

Borys Kadets, Danny Neftin

We study the following problem: given a covering of curves $ϕ : X \to X_{0}$ over a number field $k$ , and an integer $d$ , when is the set \[\{p \in X_0(\overline{k})|\ \mathrm{de…

math.NT2024

Exponents of Jacobians and relative class groups

Borys Kadets, Daniel Keliher

We prove a lower bound for the exponent of the relative class group $Pic^{0} X_{1} / ϕ^{*} Pic^{0} X_{2}$ for a covering of curves $X_{1} \to X_{2}$ over a finite field $\mathbb{…

math.NT2022★ 3 cited

Subspace configurations and low degree points on curves

Borys Kadets, Isabel Vogt

This paper is devoted to understanding curves $X$ over a number field $k$ that possess infinitely many solutions in extensions of $k$ of degree at most $d$ ; such solutions are the…

math.NT2022

Galois specialization to symmetric points and the inverse Galois problem up to $S_{n}$

Borys Kadets

The paper is concerned with the following version of Hilbert's irreducibility theorem: if $π : X \to Y$ is a Galois $G$ -covering of varieties over a number field $k$ and $H \subset…

math.NT2020★ 2 cited

Odoni's conjecture on arboreal Galois representations is false

Philip Dittmann, Borys Kadets

Suppose $f \in K [x]$ is a polynomial. The absolute Galois group of $K$ acts on the preimage tree $T$ of $0$ under $f$ . The resulting homomorphism $ϕ_f: \mathrm{Gal}_K \to…

math.NT2019

Estimates for the number of rational points on simple abelian varieties over finite fields

Borys Kadets

Let $A$ be a simple abelian variety of dimension $g$ over the field $F_{q}$ . The paper provides improvements on the Weil estimates for the size of $A (F_{q})$ . For an…

math.NT2018★ 11 cited

Large arboreal Galois representations

Borys Kadets

Given a field $K$ , a polynomial $f \in K [x]$ , and a suitable element $t \in K$ , the set of preimages of $t$ under the iterates $f^{\circ n}$ carries a natural structure of a $d$ -ar…

Generic Manin-Mumford

Hilbert irreducibility for algebraic points

Exponents of Jacobians and relative class groups

Subspace configurations and low degree points on curves

Galois specialization to symmetric points and the inverse Galois problem up to Sn​

Odoni's conjecture on arboreal Galois representations is false

Estimates for the number of rational points on simple abelian varieties over finite fields

Large arboreal Galois representations

Galois specialization to symmetric points and the inverse Galois problem up to $S_{n}$