Analytification for Complex Geometry Revisited
Complex Variables
2026-05-28 v1
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.
Cite
@article{arxiv.2605.27961,
title = {Analytification for Complex Geometry Revisited},
author = {Yuto Yamada},
journal= {arXiv preprint arXiv:2605.27961},
year = {2026}
}
Comments
9 pages