On a desingularization of the moduli space of noncommutative tori
arXiv:math/0703712 · doi:10.1090/S0002-9939-08-09465-3
Abstract
It 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. Soc