Geodesic
Noncommutative Zariski geometries and their classical limit
Confluentes Mathematici, Tome 2 (2010) no. 2, pp. 265-291

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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.

Publié le :
DOI : 10.1142/S1793744210000181

Zilber, Boris 1

1 
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     title = {Noncommutative {Zariski} geometries and their classical limit},
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Zilber, Boris. Noncommutative Zariski geometries and their classical limit. Confluentes Mathematici, Tome 2 (2010) no. 2, pp. 265-291. doi: 10.1142/S1793744210000181

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