GAGA theorems
arXiv:1804.01976
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.
28 pages; further corrections and clarifications; additional results on Lefschetz theorems and a corresponding rewrite of several sections; addition of an appendix