E. Badr

activity

20122026

most citedAutomorphism groups of non-singular plane curves of degree 5

18 citations · 44 across the 16 of their papers we have counts for

collaborators

23 papers

math.NT2026

Cubic Progressions on Smooth Plane Curves

Eslam Badr

Let $C \subset \Pbb^2_k$ be a smooth projective plane curve of degree $d \geq 5$ over a number field $k$ . We prove that any cubic arithmetic or geometric progression sequence on $C$ …

math.AG2026

Smooth plane curves with a unique outer Galois point and their automorphism groups

Eslam Badr, Takeshi Harui

We consider smooth plane curves $X$ of degree $d \geq 4$ , defined over an algebraically closed field of characteristic $0$ , that possess a unique outer Galois point. This g…

math.AG2025

Rational Functions on the Projective Line from a Computational Viewpoint

Eslam Badr, Elira Shaska, Tony Shaska

An explicit invariant-theoretic description of the moduli space $M_{3}^{1}$ of degree-three rational maps on $P^{1}$ is developed. A cubic map $ϕ$ is represented, up t…

math.GR2023

On pseudo-real finite subgroups of $PGL_{3} (C)$

Eslam Badr, Ahmad El-Guindy

Let $G$ be a finite subgroup of $PGL_{3} (C)$ , and let $σ$ be the generator of $Gal (C / R)$ . We say that $G$ has a \emph{real fi…

math.AG2022

The stratification by automorphism groups of smooth plane sextic curves

Eslam Badr, Francesc Bars

We obtain the list of automorphism groups for smooth plane sextic curves over an algebraically closed field K of characteristic p=0 or p>21. Moreover, we assign to each group a geo…