Stacky Abelianization of an Algebraic Group

dc.creatorKamgarpour, Masoud
dc.date2007-11-19
dc.date2008-08-04
dc.date.accessioned2026-07-07T09:54:08Z
dc.date.available2026-07-07T09:54:08Z
dc.descriptionLet G be a connected algebraic group and let [G,G] be its commutator subgroup. We prove a conjecture of Drinfeld about the existence of a connected etale group cover H of [G,G], characterized by the following properties: every central extension of G, by a finite etale group scheme, splits over H, and the commutator map of G lifts to H. We prove, moreover, that the quotient stack of G by the natural action of H is the universal Deligne-Mumford Picard stack to which G maps.
dc.description22 Pages
dc.identifierhttps://arxiv.org/abs/0711.3023
dc.identifierhttp://arxiv.org/abs/0711.3023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166203
dc.subjectAlgebraic Geometry
dc.titleStacky Abelianization of an Algebraic Group
dc.typetext

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