Borys Kadets

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math.NT2026

Exponents of Jacobians and relative class groups

Borys Kadets, Daniel Keliher

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

math.NT2026

Hilbert irreducibility for algebraic points

Borys Kadets, Danny Neftin

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

math.NT2024

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…