Borys Kadets

collaborators

3 papers

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…

math.NT2018

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…