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

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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Zilber, Boris. Noncommutative Zariski geometries and their classical limit. Confluentes Mathematici, Tome 2 (2010) no. 2, pp. 265-291. doi : 10.1142/S1793744210000181. http://www.numdam.org/articles/10.1142/S1793744210000181/

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[6] B. Zilber , Zariski Geometries , LMS Lecture Notes Series 360 ( Cambridge Univ. Press , 2010 ) .

[7] B. Zilber, Model Theory with Applications to Algebra and Analysis I, LMS Lect Notes 350, eds. H. D. Macpherson, A. Pillay and A. J. Wilkie (Cambridge Univ. Press, 2008) pp. 293–326.

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