Geodesic
The Kadomtsev--Petviashvili equation and the relations between the periods of holomorphic differentials on Riemann surfaces
Izvestiya. Mathematics , Tome 19 (1982) no. 2, pp. 285-296

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S. P. Novikov's conjecture that the relations between theta functions that follow from the nonlinear Kadomtsev–Petviashvili 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. 
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     author = {B. A. Dubrovin},
     title = {The {Kadomtsev--Petviashvili} equation and the relations between the periods of holomorphic differentials on {Riemann} surfaces},
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B. A. Dubrovin. The Kadomtsev--Petviashvili equation and the relations between the periods of holomorphic differentials on Riemann surfaces. Izvestiya. Mathematics , Tome 19 (1982) no. 2, pp. 285-296. http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a4/