Noncommutative invariants of algebraic curves
نویسنده
چکیده
We prove that an algebraic curve of genus g admits a representation by the interval exchange transformation. This representation is based on the “zippered rectangles” technique due to W. Veech. The invariants Oλ and θλ of the interval exchange transformation are shown to be the projective invariants of the curve C. We establish a Riemann–Roch formula for Oλ. The first steps to the classification of algebraic curves in terms of the Bratteli diagrams and invariants θλ are made.
منابع مشابه
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تاریخ انتشار 2009