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Sbornik: Mathematics, 2003, Volume 194, Issue 10, Pages 1451–1473
DOI: https://doi.org/10.1070/SM2003v194n10ABEH000772 (Mi sm772) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Combinatorial description of a moduli space of curves and of extremal polynomials

A. B. Bogatyrev

Institute of Numerical Mathematics, Russian Academy of Sciences
English version PDF (349 kB) Citations (10)
References:
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DOI: https://doi.org/10.1070/SM2003v194n10ABEH000772
Abstract: For the description of extremal polynomials (that is, the typical solutions of least deviation problems) one uses real hyperelliptic curves. A partitioning of the moduli space of such curves into cells enumerated by trees is considered. As an application of these techniques the range of the period map of the universal cover of the moduli space is explicitly calculated. In addition, extremal polynomials are enumerated by weighted graphs.
Received: 25.12.2001 and 17.11.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 10, Pages 27–48
DOI: https://doi.org/10.4213/sm772
Bibliographic databases:
UDC: 517.545+517.518.826
MSC: 30F60, 14H15, 41A50
Language: English
Original paper language: Russian
Citation: A. B. Bogatyrev, “Combinatorial description of a moduli space of curves and of extremal polynomials”, Mat. Sb., 194:10 (2003), 27–48; Sb. Math., 194:10 (2003), 1451–1473
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v194/i10/p27
    Erratum
    • Errata
      Mat. Sb., 2003, 194:12, 1899
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:478
    Russian version PDF:165
    English version PDF:12
    References:90
    First page:3
     
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