中文

Analytification for Complex Geometry Revisited

复变函数 2026-05-28 v1

摘要

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 C\mathbb{C}-algebras with analytic structures. As an application, we obtain an abstract GAGA-type comparison in this setting.

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引用

@article{arxiv.2605.27961,
  title  = {Analytification for Complex Geometry Revisited},
  author = {Yuto Yamada},
  journal= {arXiv preprint arXiv:2605.27961},
  year   = {2026}
}

备注

9 pages