3 papers
math.AG2026
The modulo eight behavior of common factors of two hypergeometric polynomials arising from a genus three heperelliptic family
Youhei Morita
We study a one-parameter family of smooth projective genus-three hyperelliptic curves over algebraically closed fields of odd characteristic, with the parameter different from zero…
math.AG2026
Genus formulas for dormant modular curves and asymptotic behavior of their function fields
Kohei Aoyama, Youhei Morita, Yasuhiro Wakabayashi
Towers of algebraic function fields over finite fields play a fundamental role in arithmetic geometry and coding theory. Classical examples arising from modular and Drinfeld modula…
math.AG2025
Complete flags on flat vector bundles in positive characteristic
Youhei Morita, Yohei Morita, Yasuhiro Wakabayashi
Let be a connected, smooth, and projective curve of genus over an algebraically closed field of characteristic . This paper investigates a characteristic- analogue…