On a desingularization of the moduli space of noncommutative tori
Operator Algebras
2009-01-23 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0703712,
title = {On a desingularization of the moduli space of noncommutative tori},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0703712},
year = {2009}
}
Comments
7 pages, 2 figures; to appear Proc. Amer. Math. Soc