The Kadomcev-petviašvili Equation and the Relations between the Periods of Holomorphic Differentials on Riemann Surfaces

@inproceedings{UDC2005TheKE,
  title={The Kadomcev-petvia{\vs}vili Equation and the Relations between the Periods of Holomorphic Differentials on Riemann Surfaces},
  author={UDC and Boris Dubrovin},
  year={2005}
}
S. P. Novikov's conjecture that the relations between theta functions that follow from the nonlinear Kadomcev-Petviasvili equation, well known in mathematical physics, characterize the Jacobian varieties of Riemann surfaces among all abelian varieties is proved in this paper, except for the possibility of superfluous components. Bibliography: 15 titles. §0. Introduction A symmetric matrix Β = (B j k) with negative definite real part Re Β < 0 is called a Riemann matrix. For a g X g Riemann… CONTINUE READING

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English transl

  • Zur Theorie der Abelschen Functionen von vier Variabel F. Schottky, Neue Satze iiber Symmetralfunctionen und die Abel'schen H. Jung, +6 authors Uspehi Mat. Nauk 36 no. 2 11-80 nonlinear equations
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4 Excerpts

Farkas and Harry E . Rauch , Period relations of Schottky type on Riemann surfaces

  • M Hershel
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