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Mathematics of the USSR-Sbornik, 1991, Volume 70, Issue 2, Pages 367–384
DOI: https://doi.org/10.1070/SM1991v070n02ABEH001257 (Mi sm1202) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Prym varieties of branched coverings and nonlinear equations

I. A. Taimanov

Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
English version PDF (936 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/SM1991v070n02ABEH001257
Abstract: An efficacious realization is presented of finite-gap solutions of the Veselov–Novikov equation expressed in terms of the theta function of Prym varieties of double coverings of algebraic curves with two branch points. For the given Prym mapping equations are obtained which locally solve a problem of Riemann–Schottky type, and a local Torelli theorem is proved.
Received: 30.03.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 7, Pages 934–950
Bibliographic databases:
UDC: 517.957+512.77
MSC: Primary 35Q20, 14K25; Secondary 14H15, 32G15
Language: English
Original paper language: Russian
Citation: I. A. Taimanov, “Prym varieties of branched coverings and nonlinear equations”, Mat. Sb., 181:7 (1990), 934–950; Math. USSR-Sb., 70:2 (1991), 367–384
Citation in format AMSBIB
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\paper Prym varieties of branched coverings and nonlinear equations
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\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 2
\pages 367--384
\crossref{https://doi.org/10.1070/SM1991v070n02ABEH001257}
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  • https://doi.org/10.1070/SM1991v070n02ABEH001257
  • https://www.mathnet.ru/eng/sm/v181/i7/p934
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:493
    Russian version PDF:154
    English version PDF:19
    References:86
    First page:3
     
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