Borys Kadets

collaborators

3 papers

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.AG2026

Low degree subvarieties of universal hypersurfaces

Yifeng Huang, Borys Kadets, Olivier Martin

We study irreducible subvarieties of the universal hypersurface $X / B$ of degree $d$ and dimension $n$ . We prove that when $d$ is sufficiently large, a degree $k d$ subvari…