Repositorio
Institucional

Ramirez Maluendas, Camilo

Atarihuana, Yasmina

Garcia, Juan

Hidalgo, Ruben A.

Quispe, Saul

Dessins D'enfants and Some Holomorphic Structures on the Loch Ness Monster

OXFORD UNIV PRESS

QUARTERLY JOURNAL OF MATHEMATICS

en

The theory of dessins d'enfants on compact Riemann surfaces, which are bipartite maps on compact orientable surfaces, are combinatorial objects used to study branched covers between compact Riemann surfaces and the absolute Galois group of the field of rational numbers. In this paper, we show how this theory is naturally extended to non-compact orientable surfaces and, in particular, we observe that the Loch Ness monster (LNM, the surface of infinite genus with exactly one end) admits infinitely many regular dessins d'enfants (either chiral or reflexive). In addition, we study different holomorphic structures on the LNM, which come from homology covers of compact Riemann surfaces, and infinite hyperelliptic and infinite superelliptic curves.

artículo original

Partially supported by Projects FONDECYT 1 190 001 and 11 170 129, and Project HERMES 47 019.

Apoyado parcialmente por los Proyectos FONDECYT 1 190 001 y 11 170 129, y Proyecto HERMES 47 019.

10.1093/qmath/haab034

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theory of dessins d’enfants

compact Riemann surfaces

Galois group

Matemáticas

teoría de los diseños infantiles

superficies compactas de Riemann

grupo Galois

Matemáticas Puras

Otras Especialidades de Matemáticas

Biología (Teórica, Matemática, Criobiología y Ritmos Biológicos)

Dessins D'enfants and Some Holomorphic Structures on the Loch Ness Monster

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artículo original

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metadata

metadata

ANID-FONDECYT 1190001

ANID-FONDECYT 11170129

UE HERMES47019

ANID FONDECYT 1190001

ANID FONDECYT 11170129

WOS:000769065500007