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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm772https://doi.org/10.1070/SM2003v194n10ABEH000772 https://www.mathnet.ru/eng/sm/v194/i10/p27
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Abstract page: | 500 | Russian version PDF: | 169 | English version PDF: | 19 | References: | 97 | First page: | 3 |
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