Mayer-Vietoris squares in algebraic geometry
Algebraic Geometry
2023-04-04 v2
Abstract
We consider various notions of Mayer--Vietoris squares in algebraic geometry. We use these to generalize a number of gluing and pushout results of Moret-Bailly, Ferrand--Raynaud, Joyet and Bhatt. An important intermediate step is Gabber's rigidity theorem for henselian pairs, which our methods give a new proof of.
Cite
@article{arxiv.1606.08517,
title = {Mayer-Vietoris squares in algebraic geometry},
author = {Jack Hall and David Rydh},
journal= {arXiv preprint arXiv:1606.08517},
year = {2023}
}
Comments
26 pages; corrected statement and proof of Proposition 4.2 and overall minor improvements