Elliptic curves and C*-algebras
نویسنده
چکیده
We use C-algebras in the context of modular curves and holomorphic 1-forms. We focus on the “leaf space” X and C-algebra C(X) of the Weil 1-form ωN on the modular curve X0(N). It is proved that K0(C (X)) is isomorphic to a stationary dimension group of rank 4g − 3. An application of this result to Hilbert’s 12th problem is discussed.
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تاریخ انتشار 2008