Non-commutative Zariski geometries and their classical limit
Quantum Algebra
2007-07-06 v1 Logic
Abstract
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 -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.
Keywords
Cite
@article{arxiv.0707.0780,
title = {Non-commutative Zariski geometries and their classical limit},
author = {B. Zilber},
journal= {arXiv preprint arXiv:0707.0780},
year = {2007}
}