NONCOMMUTATIVE ZARISKI GEOMETRIES AND THEIR CLASSICAL LIMIT

摘要

We undertake a case study of two series of nonclassical Zariski geometries and show that these geometries can be realised as representations of certain noncommutative C*-algebras and introduce a natural limit construction which for each of the two series produces a classical U(1)-gauge field over a two-dimensional Riemann surface.