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Sbornik: Mathematics, 2019, Volume 210, Issue 11, Pages 1531–1562
DOI: https://doi.org/10.1070/SM8904 (Mi sm8904) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Combinatorial analysis of the period mapping: the topology of 2D fibres

A. B. Bogatyrev

Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russia
English version PDF (925 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM8904
Abstract: We study the period mapping from the moduli space of real hyperelliptic curves to a Euclidean space. The mapping arises in the analysis of Chebyshev's construction used in the constrained optimization of the uniform norm of polynomials and rational functions. The decomposition of the moduli space into polyhedra labelled by planar graphs allows us to investigate the global topology of low-dimensional fibres of the period mapping.
Bibliography: 23 titles.
Keywords: moduli space, real algebraic curve, Abelian integral, period mapping, foliations of a quadratic differential.
Funding agency Grant number
Russian Science Foundation 16-11-10349
This research was supported by the Russian Science Foundation under grant no. 16-11-10349.
Received: 31.12.2016 and 24.06.2019
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 11, Pages 24–57
DOI: https://doi.org/10.4213/sm8904
Bibliographic databases:
Document Type: Article
UDC: 517.54+519.1+514.76
MSC: Primary 30F30; Secondary 32G15, 05E45
Language: English
Original paper language: Russian
Citation: A. B. Bogatyrev, “Combinatorial analysis of the period mapping: the topology of 2D fibres”, Mat. Sb., 210:11 (2019), 24–57; Sb. Math., 210:11 (2019), 1531–1562
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:40
    English version PDF:15
    References:34
    First page:8
     
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