%0 Journal Article
%T Non-commutative Zariski geometries and their classical limit
%A B. Zilber
%J Mathematics
%D 2007
%I arXiv
%X We undertake a case study of two series of nonclassical Zariski geometries. We 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 2-dimensional Riemann surface.
%U http://arxiv.org/abs/0707.0780v1