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Veronese webs are closely related to bi-Hamiltonian systems, as was shown by Gelfand and Zakharevich. Recently a correspondence between Veronese three-dimensional webs and three-dimensional Einstein–Weyl structures of hyper-CR type was established. The latter were parametrized by Dunajski and Kryński via the solutions of the dispersionless Hirota equation. In this paper we show relations of Veronese...
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