Cohomology and base change for algebraic stacks
Algebraic Geometry
2013-03-18 v2
Abstract
We prove that cohomology and base change holds for algebraic stacks, generalizing work of Brochard in the tame case. We also show that Hom-spaces on algebraic stacks are represented by abelian cones, generalizing results of Grothendieck, Brochard, Olsson, Lieblich, and Roth--Starr. To accomplish all of this, we prove that a wide class of Ext-functors in algebraic geometry are coherent (in the sense of M. Auslander).
Cite
@article{arxiv.1206.4179,
title = {Cohomology and base change for algebraic stacks},
author = {Jack Hall},
journal= {arXiv preprint arXiv:1206.4179},
year = {2013}
}
Comments
20 pages; complete rewrite, results strengthened, and references added