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math.AG2007★ 1 cited
On a Teichmueller functor between the categories of complex tori and the Effros-Shen algebras
Igor Nikolaev
A covariant functor from the category of the complex tori to the category of the Effros-Shen algebras is constructed. The functor maps isomorphic complex tori to the stably isomorp…
math.NT2007
Remark on the rank of elliptic curves
Igor Nikolaev
A covariant functor on the elliptic curves with complex multiplication is constructed. The functor takes values in the noncommutative tori with real multiplication. A conjecture on…
math.OA2007
On a desingularization of the moduli space of noncommutative tori
Igor Nikolaev
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 (…