Analytification for Complex Geometry Revisited
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917538324021248 |
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| author | Yamada, Yuto |
| author_facet | Yamada, Yuto |
| contents | We develop an ind-Banach framework for revisiting analytification in complex geometry, inspired by Bambozzi-Chiarellotto-Vanni's work on tempered cohomology. We define several ind-Banach rings of overconvergent and holomorphic power series to endow $\mathbb{C}$-algebras with analytic structures. As an application, we obtain an abstract GAGA-type comparison in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27961 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytification for Complex Geometry Revisited Yamada, Yuto Complex Variables Primary 32K05, Secondary 14A30, 46M15 We develop an ind-Banach framework for revisiting analytification in complex geometry, inspired by Bambozzi-Chiarellotto-Vanni's work on tempered cohomology. We define several ind-Banach rings of overconvergent and holomorphic power series to endow $\mathbb{C}$-algebras with analytic structures. As an application, we obtain an abstract GAGA-type comparison in this setting. |
| title | Analytification for Complex Geometry Revisited |
| topic | Complex Variables Primary 32K05, Secondary 14A30, 46M15 |
| url | https://arxiv.org/abs/2605.27961 |