S. Novoselov

collaborators

2 papers

math.NT2020

On the distribution of orders of Frobenius action on $ℓ$ -torsion of abelian surfaces

Nikita Kolesnikov, Semyon Novoselov

The computation of the order of Frobenius action on the $ℓ$ -torsion is a part of Schoof-Elkies-Atkin algorithm for point counting on an elliptic curve $E$ over a finite field $\…

math.NT2019

Counting points on hyperelliptic curves of type $y^{2} = x^{2 g + 1} + a x^{g + 1} + b x$

Semyon Novoselov

In this work, we investigate hyperelliptic curves of type $C : y^{2} = x^{2 g + 1} + a x^{g + 1} + b x$ over the finite field $F_{q}, q = p^{n}, p > 2$ . For the case of $g = 3$ and $4$ …

On the distribution of orders of Frobenius action on ℓ-torsion of abelian surfaces

Counting points on hyperelliptic curves of type y2=x2g+1+axg+1+bx

On the distribution of orders of Frobenius action on $ℓ$ -torsion of abelian surfaces

Counting points on hyperelliptic curves of type $y^{2} = x^{2 g + 1} + a x^{g + 1} + b x$