7 papers
Rational Preperiodic Points of Quadratic Rational Maps over with Nonabelian Automorphism Groups
Hasan Bilgili, Mohammad Sadek
Let be a quadratic rational map defined over the rational field with nonabelian automorphism group. We prove that no such map has a $\m…
Families of twists of tuples of hyperelliptic curves
Beyza Mevlüde Amir, Mohammad Sadek, Nermine El-Sissi
Let be a square-free polynomial of degree at least , , , odd positive integers, and , , non-zero rational numbers. We show the e…
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 , , is not completely determined. However, the list of group…
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 . These include hyperelliptic Jacobian varieties that…
Quadratic torsion orders on Jacobian varieties
Hamide Suluyer, Mohammad Sadek
We establish the existence of hyperelliptic curves of genus defined over whose Jacobians possess rational torsion points of order where or $…
Rational torsion on hyperelliptic jacobian varieties
Hamide Suluyer, Mohammad Sadek
It was conjectured by Flynn that there exists a constant such that, for any integer , any , there exists a hyperelliptic curve of genus over …
Local and global densities for Weierstrass models of elliptic curves
J. E. Cremona, M. Sadek
We prove local results on the -adic density of elliptic curves over with different reduction types, together with global results on densities of elliptic curves o…