5 papers
The generic étaleness of the moduli space of dormant -opers
Yasuhiro Wakabayashi
The generic étaleness is an important property on the moduli space of dormant -opers (for a simple Lie algebra ) in the context of enumerative geometry.…
Opers with real monodromy and Eichler-Shimura isomorphism
Yasuhiro Wakabayashi
The purpose of the present paper is to investigate -opers on pointed Riemann surfaces (for a simple algebraic group of adjoint type) and their monodromy maps. In the first p…
Holonomic -modules of arithmetic type and middle convolution
Yasuhiro Wakabayashi
The aim of the present paper is to study arithmetic properties of -modules on an algebraic variety over the field of algebraic numbers. We first provide a framework fo…
Infinitesimal deformations of opers in positive characteristic and the de Rham cohomology of symmetric products
Yasuhiro Wakabayashi
The Eichler-Shimura isomorphism describes a certain cohomology group with coefficients in a space of polynomials by using holomorphic modular/cusp forms. It determines a canonical…
An explicit formula for the generic number of dormant indigenous bundles
Yasuhiro Wakabayashi
A dormant indigenous bundle is an integrable projective line bundle on a proper hyperbolic curve of positive characteristic satisfying certain conditions. Dormant indigenous bundle…