Borys Kadets

activity

20182026

most citedLarge arboreal Galois representations

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

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5 papers · 1 filter

math.AG2025

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…

math.AG2021

Level structure, arithmetic representations, and noncommutative Siegel linearization

Borys Kadets, Daniel Litt

Let $ℓ$ be a prime, $k$ a finitely generated field of characteristic different from $ℓ$ , and $X$ a smooth geometrically connected curve over $k$ . Say a semisimple representat…

math.AG2020★ 2 cited

38406501359372282063949 & all that: Monodromy of Fano Problems

Sachi Hashimoto, Borys Kadets

A Fano problem is an enumerative problem of counting $r$ -dimensional linear subspaces on a complete intersection in $P^{n}$ over a field of arbitrary characteristic, wheneve…

math.AG2018★ 7 cited

An arithmetic count of the lines meeting four lines in P^3

Padmavathi Srinivasan, Kirsten Wickelgren

We enrich the classical count that there are two complex lines meeting four lines in space to an equality of isomorphism classes of bilinear forms. For any field $k$ , this enrichme…

math.AG2018★ 4 cited

Sectional monodromy groups of projective curves

Borys Kadets

Fix a degree $d$ projective curve $X \subset P^{r}$ over an algebraically closed field $K$ . Let $U \subset (P^{r})^{*}$ be a dense open subvariety such that every hyper…