Periodic discrete conformal maps (Q2717079)

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scientific article; zbMATH DE number 1604451
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Periodic discrete conformal maps
scientific article; zbMATH DE number 1604451

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    Periodic discrete conformal maps (English)
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    13 June 2001
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    periodic discrete conformal mappings
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    integrable systems
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    linear flow
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    Jacobi variety
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    Möbius equivalence
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    The main goal of the authors is to show that all periodic discrete conformal mappings can be constructed using methods which are straight from integrable systems theory, viz, by relating each such map to a linear flow on the Jacobi variety of a compact Riemann surface. They show that every periodic discrete conformal mapping is determined, uniquely up to Möbius equivalence, by its spectral data.
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