Shamil Asgarli

activity

20182022

collaborators

4 papers

math.AG2022

Smoothness in pencils of hypersurfaces over finite fields

Shamil Asgarli, Dragos Ghioca

We study pencils of hypersurfaces over finite fields $F_{q}$ such that each of the $q + 1$ members defined over $F_{q}$ is smooth.

math.AG2020

On the proportion of transverse-free plane curves

Shamil Asgarli, Brian Freidin

We study the asymptotic proportion of smooth plane curves over a finite field $F_{q}$ which are tangent to every line defined over $F_{q}$ . This partially answers a q…

math.AG2020

A Bertini type theorem for pencils over finite fields

Shamil Asgarli, Dragos Ghioca

We study the question of finding smooth hyperplane sections to a pencil of hypersurfaces over finite fields.

math.AG2018

Sharp Bertini theorem for plane curves over finite fields

Shamil Asgarli

We prove that if $C$ is a reflexive smooth plane curve of degree $d$ defined over a finite field $F_{q}$ with $d \leq q + 1$ , then there is an $F_{q}$ -line $L$ that inte…