Geodesic
ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF THE MODULI SPACE OF RIEMANN SURFACES OF GENUS 4
Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 401-408

Voir la notice de l'article provenant de la source Cambridge University Press

Using 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.
DOI : 10.1017/S0017089510000091
Mots-clés : 32G15, 14H15 
COSTA, ANTONIO F.; IZQUIERDO, MILAGROS. ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF THE MODULI SPACE OF RIEMANN SURFACES OF GENUS 4. Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 401-408. doi: 10.1017/S0017089510000091
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