Shamil Asgarli

activity

20172026

most citedVan Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields

15 citations · 54 across the 30 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

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

Transverse linear subspaces to hypersurfaces over finite fields

Shamil Asgarli, Lian Duan, Kuan-Wen Lai

Ballico proved that a smooth projective variety $X$ of degree $d$ over a finite field of $q$ elements admits a smooth hyperplane section if $q \geq d (d - 1)^{d i m X}$ . In this paper,…

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.