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math.AG2024
Superspecial genus- double covers of elliptic curves
Takumi Ogasawara, Ryo Ohashi, Kosuke Sakata +1
In this paper we study genus- curves obtained as double covers of elliptic curves. Firstly we shall give explicit defining equations of such curves with explicit criterion for w…
math.AG2024
Listing superspecial curves of genus three using Richelot isogeny graphs
Ryo Ohashi, Hiroshi Onuki, Momonari Kudo +2
In algebraic geometry, superspecial curves are important research objects. While the number of superspecial genus-3 curves in characteristic is known, the number of hyperellipt…