Hamide Suluyer

collaborators

3 papers

math.NT2026

Quadratic torsion orders on Jacobian varieties

Hamide Suluyer, Mohammad Sadek

We establish the existence of hyperelliptic curves of genus $g \geq 2$ defined over $Q$ whose Jacobians possess rational torsion points of order $N$ where $N = 4 g^{2} + 2 g - 2$ or $…

math.NT2026

Maximal curves of genus 5 over finite fields

Leolin Nkuete, Antigona Pajaziti, Hamide Suluyer +1

A maximal curve over a finite field $F_{q}$ is a curve whose number of points reaches the upper Hasse-Weil-Serre bound. We define the discriminant of $F_{q}$ as $d(\mat…

math.NT2026

Rational torsion on hyperelliptic jacobian varieties

Hamide Suluyer, Mohammad Sadek

It was conjectured by Flynn that there exists a constant $I^º$ such that, for any integer $g \geq 2$ , any $m \leq I^º g$ , there exists a hyperelliptic curve of genus $g$ over $\mathbb Q…