4 papers
On superspecial hyperelliptic curves of Rosenhain forms
Ryo Ohashi
Any genus- hyperelliptic curve defined over an algebraically closed field of characteristic can be written in a Rosenhain form as $y^2 = x(x-1)\prod_{i=1}^{2g-1}(…
Superspecial plane quintics with large automorphism groups
Ryo Ohashi
In this paper, we study plane quintic curves whose automorphism groups have order greater than 10, as well as those with cyclic automorphism groups of order 8 and 10. The latter tw…
On superspecial hyperelliptic curves of genus 5 whose automorphism groups contain
Ryo Ohashi, Momonari Kudo
While the numbers of superspecial curves of genus at most 3 are well understood, and several computational approaches have been developed to count superspecial curves of genus 4 wi…
Enumeration Algorithm for Genus-4 Superspecial Hyperelliptic Curves with Automorphism Group
Takara Taniguchi, Ryo Ohashi, Tsuyoshi Takagi
In this paper, we propose an algorithm to enumerate genus-4 superspecial hyperelliptic curves whose automorphism groups isomorphic to the quaternion group. By implementing this alg…