Noncommutative geometry of algebraic curves

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Noncommutative geometry of algebraic curves

We use C-algebras to study complex algebraic curves. Our approach is based on the representation of an algebraic curve of genus g by the interval exchange transformation due to H. Masur, W. Veech et al. We study the C-algebra Oλ connected to such transformation. The main result says that the algebra Oλ, taken up to Morita equivalence, defines the curve C, up to conformal equivalence. The first ...

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Noncommutative invariants of algebraic curves

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2009

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-09-09917-1