Generalised Diffusion on Moduli Spaces of p-Adic Mumford Curves

被引：0

作者：

Patrick Erik Bradley

机构：

[1] Institute of Photogrammetry and Remote Sensing,Karlsruhe Institute of Technology

来源：

p-Adic Numbers, Ultrametric Analysis and Applications | 2020年 / 12卷

关键词：

local fields; Mumford curves; moduli spaces; graphs; pseudodifferential operators;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A construction of a pseudo-differential operator on non-archimedean local fields invariant under a finite group action is given together with the solution of the corresponding Cauchy problem. This construction is applied to parts of the Gerritzen-Herrlich Teichmüller space in order to obtain a self-adjoint operator whose spectrum can decide about certain properties of the reduction graph of the corresponding Mumford curves.

引用

页码：73 / 89

页数：16

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