2 papers
math.AG2025
The multiplicity-one theorem for the superspeciality of hyperelliptic curves
Yuya Yamamoto
The multiplicity-one theorem for the simultaneous equations characterizing the superspeciality of hyperelliptic curves was established by Igusa in 1958 for genus one, and later ext…
math.AG2025
The multiplicity-one theorem for the superspeciality of curves of genus two
Shushi Harashita, Yuya Yamamoto
Igusa proved in 1958 that the polynomial determining the supersingularity of elliptic curve in Legendre form is separable. In this paper, we get an analogous result for curves of g…