GAGA theorems
Algebraic Geometry
2022-05-18 v3
Abstract
We prove a new and unified GAGA theorem. This recovers all analytic and formal GAGA results in the literature, and is also valid in the non-noetherian setting. Our method can also be used to establish various Lefschetz theorems and comparison results for the Fargues-Fontaine curve.
Cite
@article{arxiv.1804.01976,
title = {GAGA theorems},
author = {Jack Hall},
journal= {arXiv preprint arXiv:1804.01976},
year = {2022}
}
Comments
28 pages; further corrections and clarifications; additional results on Lefschetz theorems and a corresponding rewrite of several sections; addition of an appendix