4 papers
Generalized hypergeometric equations and d TQFT for dormant opers in characteristic
Keita Mori, Yasuhiro Wakabayashi
This note studies -opers arising from generalized hypergeometric differential equations in prime characteristic . We prove that these opers are rigid within the…
Explicit computation of the generic degree of the generalized Verschiebung in rank two
Yuki Kondo, Yasuhiro Wakabayashi
The purpose of this paper is to apply previous work on dormant opers to the study of the moduli space of stable bundles in positive characteristic. We affirmatively resolve the ran…
The irreducibility of the moduli space of pointed stable curves with dormant -oper
Yasuhiro Wakabayashi
A -oper is a specific type of flat -bundle on an algebraic curve in prime characteristic enhanced by an action of the sheaf of differentia…
The moduli space of dormant opers on elliptic curves
Naoka Karube, Yasuhiro Wakabayashi
A dormant oper is a specific type of principal bundle with a flat connection, defined on an algebraic curve in positive characteristic. The moduli spaces of dormant opers and their…