English

Non-adic formal schemes

Algebraic Geometry 2024-02-27 v1

Abstract

Our purpose is to make a contribution to the foundation of the theory of formal scheme. We are interested particularly in non-Noetherian or non-adic formal schemes, which have been little studied. We redefine the formal scheme as a proringed space and study its basic properties. We also find several examples of non-adic formal schemes.

Keywords

Cite

@article{arxiv.0711.0434,
  title  = {Non-adic formal schemes},
  author = {Takehiko Yasuda},
  journal= {arXiv preprint arXiv:0711.0434},
  year   = {2024}
}

Comments

47 pages, This is a totally revised version of math.AG/0602542

R2 v1 2026-06-21T09:39:27.414Z