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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 5, Pages 93–102
DOI: https://doi.org/10.4213/im4127
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. RAN. Ser. Mat., 75:5 (2011), 93–102; Izv. Math., 75:5 (2011), 959–969
Citation in format AMSBIB
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  • 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
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:493
    Russian version PDF:174
    English version PDF:14
    References:83
    First page:11
     
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