D. Ghioca

works on

arithmetic dynamics 1 number fields 1 orbit intersection 1 polynomial iteration 1 preperiodic points 1

From the 1 of 12 linked papers with an AI index.

activity

20242026

collaborators

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4 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 ErdÅs on blocking sets in a projective plane that intersect every line only a few times, several authors have used unions of algebraic curves to constru…

math.AG2025

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.AG2024

Linear system of geometrically irreducible plane cubics over finite fields

Shamil Asgarli, Dragos Ghioca

We examine the maximum dimension of a linear system of plane cubic curves whose $F_{q}$ -members are all geometrically irreducible. Computational evidence suggests that such…

math.AG2024

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…