2 papers
math.NT2026
Geometric construction of modular polynomials with level structures
Hiroshi Onuki, Yukihiro Uchida, Ryo Yoshizumi
The classical modular polynomial for -invariants describes the relation between two elliptic curves connected by isogenies. This polynomial has been applied to various algorithm…
math.AG2025
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…