2 papers
math.AG2026
Automorphism groups of hyperelliptic curves of -rank zero
Kohtaro Yamaguchi, Shushi Harashita
In this paper, we determine the reduced automorphism groups of hyperelliptic curves of a small genus in characteristic , when they are of -rank . Such a curve is an Artin-…
math.NT2026
The Lang-Trotter conjecture on average for genus- curves with reduced automorphism group
Chihiro Ando, Shushi Harashita
For an elliptic curve over without complex multiplication, Lang and Trotter conjectured that the number of primes at which has a supersingular reduction…