Generic fundamental polygons for surfaces of genus three
Ch\k{a}dzy\'{n}ski, Jacek ; Nakamura, Gou
Kodai Math. J., Tome 27 (2004) no. 1, p. 88-104 / Harvested from Project Euclid
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In the study of extremal surfaces it is important to see the side-pairings of the generic fundamental polygons. For the regular 30-gon in the hyperbolic plane it is known that there are 1726 side-pairing patterns to make a compact surface of genus three. If we consider the mirror images of these patterns, then there are essentially 927 patterns. In the present paper we give the 927 side-pairing patterns completely.
Publié le : 2004-03-14
Classification:  
@article{1085143791,
     author = {Ch\k{a}dzy\'{n}ski, Jacek and Nakamura, Gou},
     title = {Generic fundamental polygons for surfaces of genus three},
     journal = {Kodai Math. J.},
     volume = {27},
     number = {1},
     year = {2004},
     pages = { 88-104},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085143791}
}

Ch\k{a}dzy\'{n}ski, Jacek; Nakamura, Gou. Generic fundamental polygons for surfaces of genus three. Kodai Math. J., Tome 27 (2004) no. 1, pp.  88-104. http://gdmltest.u-ga.fr/item/1085143791/