Borys Kadets

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20182025

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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.AG2020

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

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…