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Generalized amoebas of the second kind I. M. Kricheverabc a Columbia University b Skolkovo Institute of Science and Technology c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow |
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Abstract: The notion of a meromorphic real normalized differential is equivalent to the notion of a harmonic function on an algebraic curve with "algebraic type" singularities at punctures. A pair of such differentials determines the harmonic map of the complement on the curve to the punctures on (in) the two-dimensional real plane, which can be regarded as a generalization of the amoeba map of a plane algebraic curve. The moduli spaces of algebraic curves with a pair of real normalized meromorphic differentials are fundamental in the theory of integrable systems and their perturbations, in the Seiberg-Witten solution to Language: English Website: https://us02web.zoom.us/j/2162766238?pwd=TTBraGwvQ3Z3dWVpK3RCSFNMcWNNZz09 * ID: 216 276 6238, password: residue |