Webs, Veronese curves, and bihamiltonian systems (Q1178832)

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scientific article; zbMATH DE number 22427
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Webs, Veronese curves, and bihamiltonian systems
scientific article; zbMATH DE number 22427

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    Webs, Veronese curves, and bihamiltonian systems (English)
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    26 June 1992
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    The authors' summary: ``The authors define a special kind of multidimensional webs, connected with the Veronese curve. For these webs the foliations in question depend not on a discrete parameter, but on the point on a projective line. For each bihamiltonian system of odd dimension in general position we construct such a web and show how to reconstruct the original bihamiltonian system based on these data.
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    quadratic form
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    Poisson bracket
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    vector field
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    multidimensional webs
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    Veronese curve
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    bihamiltonian system
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