3 papers
math.AG2026
Duality for dormant opers of classical types B and C
Yasuhiro Wakabayashi
A -oper for a simple Lie algebra is a specific type of flat principal bundle on an algebraic curve. When the base field is of prime characteristic ,…
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
Frobenius pull-back of parabolic bundles and dormant opers
Yasuhiro Wakabayashi
We study parabolic bundles on an algebraic curve in positive characteristic. Our motivation is to properly formulate Frobenius pull-backs of parabolic bundles in a way that extends…