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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 2, Pages 285–296
DOI: https://doi.org/10.1070/IM1982v019n02ABEH001418 (Mi im1596) 		 
This article is cited in 21 scientific papers (total in 21 papers)

The Kadomtsev–Petviashvili equation and the relations between the periods of holomorphic differentials on Riemann surfaces

B. A. Dubrovin
English version PDF (605 kB) Citations (21)
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DOI: https://doi.org/10.1070/IM1982v019n02ABEH001418
Abstract: 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.
Received: 13.04.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 5, Pages 1015–1028
Bibliographic databases:
UDC: 513.835
MSC: Primary 14K20, 14K25, 14K30; Secondary 32G20
Language: English
Original paper language: Russian
Citation: B. A. Dubrovin, “The Kadomtsev–Petviashvili equation and the relations between the periods of holomorphic differentials on Riemann surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 45:5 (1981), 1015–1028; Math. USSR-Izv., 19:2 (1982), 285–296
Citation in format AMSBIB
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\by B.~A.~Dubrovin
\paper The Kadomtsev--Petviashvili equation and the relations between the periods of holomorphic differentials on Riemann surfaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 5
\pages 1015--1028
\mathnet{http://mi.mathnet.ru/im1596}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=637614}
\zmath{https://zbmath.org/?q=an:0501.14016|0477.14018}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 2
\pages 285--296
\crossref{https://doi.org/10.1070/IM1982v019n02ABEH001418}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:879
    Russian version PDF:352
    English version PDF:21
    References:68
    First page:3
     
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