2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217061It 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.7 pages, 2 figures; to appear Proc. Amer. Math. SocOperator AlgebrasAlgebraic Geometry14H52; 46L85text