On a desingularization of the moduli space of noncommutative tori

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dc.creatorNikolaev, Igor
dc.date2007-03-23
dc.date2008-04-19
dc.date.accessioned2026-07-07T12:33:15Z
dc.date.available2026-07-07T12:33:15Z
dc.descriptionIt is shown that the moduli space of the noncommutative tori A admits a natural desingularization by the group Ext (A, A). Namely, we prove that the moduli space of pairs (A, Ext (A,A)) is homeomorphic to a punctured two-dimensional sphere. The proof is based on a correspondence (a covariant functor) between the complex and noncommutative tori.
dc.description7 pages, 2 figures; to appear Proc. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0703712
dc.identifierhttp://arxiv.org/abs/math/0703712
dc.identifierProc. Amer. Math. Soc. 136 (2008), 3769-3774
dc.identifierdoi:10.1090/S0002-9939-08-09465-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217061
dc.subjectOperator Algebras
dc.subjectAlgebraic Geometry
dc.subject14H52; 46L85
dc.titleOn a desingularization of the moduli space of noncommutative tori
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