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

RACSAM (2007)

- Volume: 101, Issue: 2, page 167-173
- ISSN: 1578-7303

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topCampos, 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 -

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