The action of the Cremona group on the non-commutative ring

dc.creatorUsnich, Alexandr
dc.date2007-10-24
dc.date2008-04-30
dc.date.accessioned2026-07-07T09:35:42Z
dc.date.available2026-07-07T09:35:42Z
dc.descriptionThe Cremona group acts on the field of two independent commutative variables over complex numbers. We provide a non-commutative ring that is an analog of non-commutative field of two independent variables and prove that the Cremona group embeds in the group of outer automorphisms of this ring. First proof of this result is technical, the second one is conceptual and gives a way to obtain non-commutative rings from the bounded derived categories of coherent sheaves.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0710.4561
dc.identifierhttp://arxiv.org/abs/0710.4561
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159919
dc.subjectAlgebraic Geometry
dc.titleThe action of the Cremona group on the non-commutative ring
dc.typetext

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