Showing math.QAShow all
3 papers · 1 filter
math.QA2007
Heisenberg modules over real multiplication noncommutative tori and related algebraic structures
Jorge Plazas
We review some aspects of the theory of noncommutative two-tori with real multiplication focusing on the role played by Heisenberg groups in the definition of algebraic structures…
math.QA2007
Examples of noncommutative manifolds: complex tori and spherical manifolds
Jorge Plazas
We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of two-dimensional tori and low-dimensional spheres. We are particularly int…
math.QA2006
Arithmetic structures on noncommutative tori with real multiplication
Jorge Plazas
We study the homogeneous coordinate rings of real multiplication noncommutative tori as defined by A. Polishchuk. Our aim is to understand how these rings give rise to an arithmeti…