English

Notes on schematic finite spaces

Algebraic Geometry 2021-02-19 v1

Abstract

The schematic finite spaces are those finite ringed spaces where a theory of quasi-coherent modules can be developed with minimal natural conditions. We give various characterizations of these spaces and their natural morphisms. We show that schematic finite spaces are strongly related to quasi-compact quasi-separated schemes.

Keywords

Cite

@article{arxiv.2102.09263,
  title  = {Notes on schematic finite spaces},
  author = {Fernando Sancho and Pedro Sancho},
  journal= {arXiv preprint arXiv:2102.09263},
  year   = {2021}
}

Comments

73 pages

R2 v1 2026-06-23T23:16:55.820Z