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arXiv · 2605.27961

Analytification for Complex Geometry Revisited

Yuto Yamada
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Abstract

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.

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Yuto Yamada. 2026-05-27. Analytification for Complex Geometry Revisited. https://arxiv.org/abs/2605.27961

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