A Microlocal Theory for Zariski-Constructible Sheaves on Rigid Analytic Varieties
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915408418701312 |
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| author | Zhou, Tong |
| author_facet | Zhou, Tong |
| contents | We develop a microlocal theory, in the sense of Kashiwara-Schapira, for Zariski-constructible sheaves on rigid analytic varieties. We define and study monodromic sheaves, the monodromic Fourier transform, specialisation, microlocalisation, micro-hom, and singular support in this context. Some questions and conjectures are formulated in the end. The appendix contains infinity-categorical characterisations of monodromic sheaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18604 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Microlocal Theory for Zariski-Constructible Sheaves on Rigid Analytic Varieties Zhou, Tong Algebraic Geometry We develop a microlocal theory, in the sense of Kashiwara-Schapira, for Zariski-constructible sheaves on rigid analytic varieties. We define and study monodromic sheaves, the monodromic Fourier transform, specialisation, microlocalisation, micro-hom, and singular support in this context. Some questions and conjectures are formulated in the end. The appendix contains infinity-categorical characterisations of monodromic sheaves. |
| title | A Microlocal Theory for Zariski-Constructible Sheaves on Rigid Analytic Varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2507.18604 |