Accola theorem on hyperelliptic graphs
Limonov, Maxim P.
ARS MATHEMATICA CONTEMPORANEA, Tome 11 (2015), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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In this paper, we prove the following theorem:If a graph X is a degree 2 (unramified) covering of a hyperelliptic graph of genus g >= 2, then X is gamma-hyperelliptic for some gamma <= [(g-1)/2]. This is a discrete analogue of the corresponding theorem for Riemann surfaces. The Bass-Serre theory of coverings of graphs of groups is employed to get the main result.

Publié le : 2015-01-01
DOI : https://doi.org/10.26493/1855-3974.790.202 
@article{790,
     title = {Accola theorem on hyperelliptic graphs},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {11},
     year = {2015},
     doi = {10.26493/1855-3974.790.202},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/790}
}

Limonov, Maxim P. Accola theorem on hyperelliptic graphs. ARS MATHEMATICA CONTEMPORANEA, Tome 11 (2015) . doi : 10.26493/1855-3974.790.202. http://gdmltest.u-ga.fr/item/790/