Chiral covers of hypermaps
Jones, Gareth Aneurin
ARS MATHEMATICA CONTEMPORANEA, Tome 11 (2015), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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Generalising a conjecture of Singerman, it is shown that there are orientably regular chiral hypermaps (equivalently regular chiral dessins d'enfants) of every non-spherical type. The proof uses the representation theory of automorphism groups of Riemann surfaces acting on homology and on various spaces of differentials. Some examples are given.

Publié le : 2015-01-01
DOI : https://doi.org/10.26493/1855-3974.587.3eb 
@article{587,
     title = {Chiral covers of hypermaps},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {11},
     year = {2015},
     doi = {10.26493/1855-3974.587.3eb},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/587}
}

Jones, Gareth Aneurin. Chiral covers of hypermaps. ARS MATHEMATICA CONTEMPORANEA, Tome 11 (2015) . doi : 10.26493/1855-3974.587.3eb. http://gdmltest.u-ga.fr/item/587/