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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 372–380
DOI: https://doi.org/10.17377/semi.2015.12.031 (Mi semr594) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Real, complex and functional analysis

Non-regular graph coverings and lifting the hyperelliptic involution

Maxim P. Limonovabc

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Laboratory of Quantum Topology, Chelyabinsk State University, Br. Kashirinykh str., 129, room 419, 430, 454001, Chelyabinsk, Russia
c Novosibirsk State University, Pirogova st. 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.031
Abstract: In this paper, we prove that there exists a non-regular hyperelliptic covering of any odd degree over a hyperelliptic graph. Also, some properties of a dihedral covering, with a rotation being of odd degree, over a genus two hyperelliptic graph are derived. In the proof, the Bass–Serre theory is employed.
Keywords: Riemann surface, graph, hyperelliptic graph, hyperelliptic involution, fundamental group, automorphism group, harmonic map, branched covering, non-regular covering, graph of groups.
Received June 2, 2015, published June 9, 2015
Document Type: Article
UDC: 519.173+517.545
MSC: 05C10+57M12
Language: English
Citation: Maxim P. Limonov, “Non-regular graph coverings and lifting the hyperelliptic involution”, Sib. Èlektron. Mat. Izv., 12 (2015), 372–380
Citation in format AMSBIB
\Bibitem{Lim15}
\by Maxim~P.~Limonov
\paper Non-regular graph coverings and lifting the hyperelliptic involution
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 372--380
\mathnet{http://mi.mathnet.ru/semr594}
\crossref{https://doi.org/10.17377/semi.2015.12.031}
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    Citing articles in Google Scholar: Russian citations, English citations
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