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Seminar on analytic theory of differential equations
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A combinatorial analysis of a period map: a global topology of fibres A. B. Bogatyrev |
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Abstract: Under a period map, to a given Riemann sufrace with marked points there corresponds the values of periods of distinguished meromorphic differentials on it. We consider in details one such a mapping which comes from problems of a uniform rational approximation. We construct a piecewise linear model on the space of surfaces that allows to determine a global topology of fibres of the period mapping. |