2 papers
math.NT2024
Criteria of maximality and minimality of van der Geer-van der Vlugt curves
Tetsushi Ito, Ren Tatematsu, Takahiro Tsushima
The van der Geer-van der Vlugt curves are Artin-Schreier coverings of the affine line defined by linearized polynomials over finite fields. We give several criteria for them to be…
math.NT2023
Local Galois representations associated to additive polynomials
Takahiro Tsushima
For an additive polynomial and a positive integer, we define an irreducible smooth representation of a Weil group of a non-archimedean local field. We study several invariants of t…