Basis of homology adapted to the trigonal automorphism of a Riemann surface.

Campos, Helena B.. "Basis of homology adapted to the trigonal automorphism of a Riemann surface.." RACSAM 101.2 (2007): 167-173. <http://eudml.org/doc/42017>.

@article{Campos2007,
abstract = {A closed (compact without boundary) Riemann surface S of genus g is said to be trigonal if there is a three sheeted covering (a trigonal morphism) from S to the Riemann sphere, ƒ : S →Ĉ. If there is an automorphism of period three, φ, on S permuting the sheets of the covering, we shall call S cyclic trigonal and will be called trigonal automorphism. In this paper we determine the intersection matrix on the first homology group of a cyclic trigonal Riemann surface on an adapted basis B to the trigonal automorphism, that is, the matrix of the trigonal automorphism is as simple as possible. We use the basis B to the topological classification of actions of automorphism groups on Riemann surfaces.},
author = {Campos, Helena B.},
journal = {RACSAM},
keywords = {Cyclic trigonal surface; first homology group},
language = {eng},
number = {2},
pages = {167-173},
title = {Basis of homology adapted to the trigonal automorphism of a Riemann surface.},
url = {http://eudml.org/doc/42017},
volume = {101},
year = {2007},
}

TY - JOUR
AU - Campos, Helena B.
TI - Basis of homology adapted to the trigonal automorphism of a Riemann surface.
JO - RACSAM
PY - 2007
VL - 101
IS - 2
SP - 167
EP - 173
AB - A closed (compact without boundary) Riemann surface S of genus g is said to be trigonal if there is a three sheeted covering (a trigonal morphism) from S to the Riemann sphere, ƒ : S →Ĉ. If there is an automorphism of period three, φ, on S permuting the sheets of the covering, we shall call S cyclic trigonal and will be called trigonal automorphism. In this paper we determine the intersection matrix on the first homology group of a cyclic trigonal Riemann surface on an adapted basis B to the trigonal automorphism, that is, the matrix of the trigonal automorphism is as simple as possible. We use the basis B to the topological classification of actions of automorphism groups on Riemann surfaces.
LA - eng
KW - Cyclic trigonal surface; first homology group
UR - http://eudml.org/doc/42017
ER -