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 2023Show all

6 papers · 1 filter

math.AG2023

Linear system of hypersurfaces passing through a Galois orbit

Shamil Asgarli, Dragos Ghioca, Zinovy Reichstein

Let $d$ and $n$ be positive integers, and $E / F$ be a separable field extension of degree $m = (n n + d)$ . We show that if $∣ F ∣ > 2$ , then there exists a point $P\in \mathbb{P}^n…

math.AG2023

Plane-filling curves of small degree over finite fields

Shamil Asgarli, Dragos Ghioca

A plane curve $C$ in $P^{2}$ defined over $F_{q}$ is called plane-filling if $C$ contains every $F_{q}$ -point of $P^{2}$ . Homma and Kim, building on the…

math.AG2023

Tangent-filling plane curves over finite fields

Shamil Asgarli, Dragos Ghioca

We study plane curves over finite fields whose tangent lines at smooth $F_{q}$ -points together cover all the points of $P^{2} (F_{q})$ .

math.HO2023

A Fair Shake: How close can the sum of $n$ -sided dice be to a uniform distribution?

Shamil Asgarli, Michael Hartglass, Daniel Ostrov +1

Two possibly unfair $n$ -sided dice, both labelled $1, 2, \dots, n$ , are rolled, and the sum is recorded. How should the dice's sides be weighted so that the resulting sum is close…

math.AG2023★ 5 cited

Existence of pencils with nonblocking hypersurfaces

Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip

We prove that there is a pencil of hypersurfaces in $P^{n}$ of any given degree over a finite field $F_{q}$ such that every $F_{q}$ -member of the pencil is not…

math.AG2023

Proportion of blocking curves in a pencil

Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip

Let $L$ be a pencil of plane curves defined over $F_{q}$ with no $F_{q}$ -points in its base locus. We investigate the number of curves in $L$ whos…

Linear system of hypersurfaces passing through a Galois orbit

Plane-filling curves of small degree over finite fields

Tangent-filling plane curves over finite fields

A Fair Shake: How close can the sum of n-sided dice be to a uniform distribution?

Existence of pencils with nonblocking hypersurfaces

Proportion of blocking curves in a pencil

A Fair Shake: How close can the sum of $n$ -sided dice be to a uniform distribution?