Generalised diffusion on moduli spaces of $p$-adic Mumford curves
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866912176490414080 |
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| author | Bradley, Patrick Erik |
| author_facet | Bradley, Patrick Erik |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_06207 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Generalised diffusion on moduli spaces of $p$-adic Mumford curves Bradley, Patrick Erik Algebraic Geometry 14H15 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. |
| title | Generalised diffusion on moduli spaces of $p$-adic Mumford curves |
| topic | Algebraic Geometry 14H15 |
| url | https://arxiv.org/abs/1910.06207 |