ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF THE MODULI SPACE OF RIEMANN SURFACES OF GENUS 4-Reference-Cited by-同舟云学术

ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF THE MODULI SPACE OF RIEMANN SURFACES OF GENUS 4

Published:2010-03-29 Issue:2 Volume:52 Page:401-408
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

COSTA ANTONIO F.,IZQUIERDO MILAGROS

Abstract

AbstractUsing uniformization of Riemann surfaces by Fuchsian groups and the equisymmetric stratification of the branch locus of the moduli space of surfaces of genus 4, we prove its connectedness. As a consequence, one can deform a surface of genus 4 with automorphisms, i.e. symmetric, to any other symmetric genus 4 surface through a path consisting entirely of symmetric surfaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

1. 17. Wolfart J. , Triangle groups and Jacobians of CM type, 2002, available at: http://www.math.uni-frankfurt.de/wolfart

2. Abelian actions on 2-manifolds;Smith;Michigan Math. J.,1967

3. Finitely Maximal Fuchsian Groups

4. Isolated points in the branch locus of the moduli space of compact Riemann surfaces

5. Classification of automorphism groups, up to topological equivalence, of compact Riemann surfaces of genus 4

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Database of Group Actions on Riemann Surfaces;Springer Proceedings in Mathematics & Statistics;2023

2. On large prime actions on Riemann surfaces;Journal of Group Theory;2022-03-31

3. Limit points of the branch locus of g;Advances in Geometry;2019-06-23

4. Geometry of the 1-skeleta of singular nerves of moduli spaces of Riemann surfaces;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2018-02-15

5. Topologically singular points in the moduli space of Riemann surfaces;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2017-10-23