Group actions on algebraic stacks via butterflies
dc.contributor.author | Noohi, B | en_US |
dc.date.accessioned | 2017-06-28T13:57:25Z | |
dc.date.available | 2017-05-05 | en_US |
dc.date.issued | 2017-09-15 | en_US |
dc.date.submitted | 2017-06-21T08:29:40.186Z | |
dc.identifier.issn | 0021-8693 | en_US |
dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/24628 | |
dc.description.abstract | © 2017 Elsevier Inc.We introduce an explicit method for studying actions of a group stack G on an algebraic stack X. As an example, we study in detail the case where X=P(n0,⋯,nr) is a weighted projective stack over an arbitrary base S. To this end, we give an explicit description of the group stack of automorphisms of P(n0,⋯,nr), the weighted projective general linear 2-group PGL(n0,⋯,nr). As an application, we use a result of Colliot-Thélène to show that for every linear algebraic group G over an arbitrary base field k (assumed to be reductive if char(k)>0) such that Pic(G)=0, every action of G on P(n0,⋯,nr) lifts to a linear action of G on Ar+1. | en_US |
dc.format.extent | 36 - 63 | en_US |
dc.relation.ispartof | Journal of Algebra | en_US |
dc.rights | This is a pre-copyedited, author-produced version of an article accepted for publication in Journal of Algebra following peer review. The version of record is available http://www.sciencedirect.com/science/article/pii/S0021869317302752 | |
dc.title | Group actions on algebraic stacks via butterflies | en_US |
dc.type | Article | |
dc.rights.holder | https://doi.org/10.1016/j.jalgebra.2017.05.002 | |
dc.identifier.doi | 10.1016/j.jalgebra.2017.05.002 | en_US |
pubs.notes | Not known | en_US |
pubs.publication-status | Accepted | en_US |
pubs.volume | 486 | en_US |
dcterms.dateAccepted | 2017-05-05 | en_US |
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Mathematics [1468]