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Cohomology and base change for algebraic stacks

Hall, Jack

Description

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).

dc.contributor.authorHall, Jack
dc.date.accessioned2015-12-08T22:09:32Z
dc.date.available2015-12-08T22:09:32Z
dc.identifier.issn0025-5874
dc.identifier.urihttp://hdl.handle.net/1885/29074
dc.description.abstractWe 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).
dc.publisherSpringer
dc.sourceMathematische Zeitschrift
dc.titleCohomology and base change for algebraic stacks
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume278
dc.date.issued2014
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.ariespublicationu5328909xPUB62
local.type.statusPublished Version
local.contributor.affiliationHall, Jack, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.startpage401
local.bibliographicCitation.lastpage429
local.identifier.doi10.1007/s00209-014-1321-7
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2015-12-08T07:25:45Z
local.identifier.scopusID2-s2.0-84901575083
local.identifier.thomsonID000343755600021
CollectionsANU Research Publications

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