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9 papers
Dormant opers and Gauss maps in positive characteristic
Yasuhiro Wakabayashi
The Gauss map of a given projective variety is the rational map that sends a smooth point to the tangent space at that point, considered as a point of the Grassmann variety. The pr…
On the category of structure species
Yasuhiro Wakabayashi
The purpose of the present paper is to make a mathematical study of the differences and relations among possible structures inherent in an object, as well as of the whole structure…
Differential modules and dormant opers of higher level
Yasuhiro Wakabayashi
In the first half of the present paper, we study higher-level generalizations of differential modules in positive characteristic. These objects may be regarded as ring-theoretic co…
Frobenius-Ehresmann structures and Cartan geometries in positive characteristic
Yasuhiro Wakabayashi
The aim of the present paper is to lay the foundation for a theory of Ehresmann structures in positive characteristic, generalizing the Frobenius-projective and Frobenius-affine st…
Quantization on Algebraic Curves with Frobenius-Projective Structure
Yasuhiro Wakabayashi
In the present paper, we study the relationship between deformation quantizations and Frobenius-projective structures defined on an algebraic curve in positive characteristic. A Fr…
An effective version of Belyi's theorem in positive characteristic
Yasuhiro Wakabayashi
The purpose of the present paper is to give an effective version of the noncritical -tame Belyi theorem. That is to say, we compute explicitly an upper bound of the minimal degr…