R. Ohashi

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20192023

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3 papers · 1 filter

math.AG2023

On the Rosenhain forms of superspecial curves of genus two

Ryo Ohashi

In this paper, we examine superspecial genus-2 curves $C : y^{2} = x (x - 1) (x - λ) (x - μ) (x - ν)$ in odd characteristic $p$ . As a main result, we show that the difference between any two elem…

math.AG2022

On the maximality of genus-3 nonhyperelliptic curves of Ciani type

Ryo Ohashi

In this paper, we study a Ciani curve $C : x^{4} + y^{4} + z^{4} + r x^{2} y^{2} + s y^{2} z^{2} + t z^{2} x^{2} = 0$ in positive characteristic $p \geq 3$ . We will show that if $C$ is superspecial, then i…

math.AG2022

On the maximality of hyperelliptic Howe curves of genus 3

Ryo Ohashi

In this paper, we study a Howe curve $C$ in positive characteristic $p \geq 3$ which is of genus 3 and is hyperelliptic. We will show that if $C$ is superspecial, then its standard…