Mohammad Sadek

activity

20202026

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3 papers · 1 filter

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…

math.NT2024

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.NT2024

Rational torsion on hyperelliptic jacobian varieties

Hamide Suluyer, Mohammad Sadek

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