Noncommutative geometry of algebraic curves
نویسنده
چکیده
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 steps to classification of algebraic curves in terms of C-algebras are suggested.
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