Grothendieck's Existence Theorem for Relatively Perfect Complexes on Algebraic Stacks
Algebraic Geometry
2021-05-18 v2
Abstract
We prove Grothendieck's existence theorem for relatively perfect complexes on an algebraic stack that is proper and flat over an -adically complete Noetherian ring . This generalizes an earlier result of Lieblich in the setting of algebraic spaces.
Cite
@article{arxiv.1907.05025,
title = {Grothendieck's Existence Theorem for Relatively Perfect Complexes on Algebraic Stacks},
author = {David Benjamin Lim},
journal= {arXiv preprint arXiv:1907.05025},
year = {2021}
}
Comments
Removed flatness hypothesis from Lemma 3.4