Analytification for Complex Geometry Revisited
arXiv:2605.27961
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 -algebras with analytic structures. As an application, we obtain an abstract GAGA-type comparison in this setting.
arXiv comment9 pages