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Cohomology and base change for algebraic stacks

Hall, Jack


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 relative Ext-functors in algebraic geometry are coherent (in the sense of M. Auslander).

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Mathematische Zeitschrift
DOI: 10.1007/s00209-014-1321-7


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