C. Yip

activity

20202026

most citedOn the clique number of Paley graphs of prime power order

23 citations · 121 across the 26 of their papers we have counts for

collaborators

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7 papers · 1 filter

math.AG2025

Blocking sets from a union of plane curves

Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip

Motivated by a question of Erdős on blocking sets in a projective plane that intersect every line only a few times, several authors have used unions of algebraic curves to construc…

math.AG2025

Hypersurfaces passing through the Galois orbit of a point

Shamil Asgarli, Jonathan Love, Chi Hoi Yip

Asgarli, Ghioca, and Reichstein proved that if $K$ is a field with $∣ K ∣ > 2$ , then for any positive integers $d$ and $n$ , and separable field extension $L / K$ with degree $m=\binom{n+…

math.AG2024

Mutual position of two smooth quadrics over finite fields

Shamil Asgarli, Chi Hoi Yip

Given two irreducible conics $C$ and $D$ over a finite field $F_{q}$ with $q$ odd, we show that there are $q^{2} /4 + O (q^{3/2})$ points $P$ in $P^{2} (F_{q})$ such…

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…

math.AG2022★ 2 cited

Most plane curves over finite fields are not blocking

Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip

A plane curve $C \subset P^{2}$ of degree $d$ is called \emph{blocking} if every $F_{q}$ -line in the plane meets $C$ at some $F_{q}$ -point. We prove that the pro…