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arXiv · 0707.0780

Non-commutative Zariski geometries and their classical limit

B. Zilber
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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 $C^*$-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.

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B. Zilber. 2007-07-05. Non-commutative Zariski geometries and their classical limit. https://arxiv.org/abs/0707.0780

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