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Izvestiya: Mathematics, 2011, Volume 75, Issue 5, Pages 959–969
DOI: https://doi.org/10.1070/IM2011v075n05ABEH002560 (Mi im4127) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Spectral data for a pair of matrices of order three and an action of the group $\mathrm{GL}(2,\mathbb Z)$

Yu. A. Neretinabc

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
c University of Vienna, Mathematical Department
English version PDF (260 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM2011v075n05ABEH002560
Abstract: We consider the 10-dimensional complex space whose points are cubic curves on the projective complex plane with three marked points. The triples of marked points on the curve are defined up to equivalence of divisors. We construct a natural action of the group $\mathrm{GL}(2,\mathbb Z)$ on this space.
Keywords: elliptic curve, spectral curve, free group.
Received: 24.06.2009
Revised: 15.07.2010
Bibliographic databases:
Document Type: Article
UDC: 512.772+512.64+512.54
MSC: Primary 14H52; Secondary 11G05, 11G07, 22E40
Language: English
Original paper language: Russian
Citation: Yu. A. Neretin, “Spectral data for a pair of matrices of order three and an action of the group $\mathrm{GL}(2,\mathbb Z)$”, Izv. Math., 75:5 (2011), 959–969
Citation in format AMSBIB
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\by Yu.~A.~Neretin
\paper Spectral data for a~pair of matrices of order three and an action of the group $\mathrm{GL}(2,\mathbb Z)$
\jour Izv. Math.
\yr 2011
\vol 75
\issue 5
\pages 959--969
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  • https://doi.org/10.1070/IM2011v075n05ABEH002560
  • https://www.mathnet.ru/eng/im/v75/i5/p93
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:510
    Russian version PDF:176
    English version PDF:18
    References:85
    First page:11
     
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