Mohammad Sadek

collaborators

3 papers

math.NT2025

Families of twists of tuples of hyperelliptic curves

Beyza Mevlüde Amir, Mohammad Sadek, Nermine El-Sissi

Let $f \in Q [x]$ be a square-free polynomial of degree at least $3$ , $m_{i}$ , $i = 1, 2, 3$ , odd positive integers, and $a_{i}$ , $i = 1, 2, 3$ , non-zero rational numbers. We show the e…

math.NT2025

On Torsion Subgroups of Elliptic Curves over Quartic, Quintic and Sextic Number Fields

Mustafa Umut Kazancıoğlu, Mohammad Sadek

The list of all groups that can appear as torsion subgroups of elliptic curves over number fields of degree $d$ , $d = 4, 5, 6$ , is not completely determined. However, the list of group…

math.AG2024

Explicit construction of decomposable Jacobians

Mesut Buğday, Mohammad Sadek

In this note we give explicit constructions of decomposable hyperelliptic Jacobian varieties over fields of characteristic $0$ . These include hyperelliptic Jacobian varieties that…