首页|On the connectedness of the branch locus of the moduli space of Riemann surfaces
On the connectedness of the branch locus of the moduli space of Riemann surfaces
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The moduli space M_g of compact Riemann surfaces of genus g has the structure of an orbifold and the set of singular points of such orbifold is the branch locus B_g. In this article we present some results related with the topology of B_g. We study the connectedness of B_g for g ≤ 8, the existence of isolated equisymmetric strata in the branch loci and finally we stablish the connectedness of the branch locus of the moduli space of Riemann surfaces considered as Klein surfaces. We just sketch the proof of some of the results; complete proofs will be published elsewhere.
riemann surfacemoduli spaceautomorphism
Gabriel Bartolini、Antonio F. Costa、Milagros Izquierdo、Ana M. Porto
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Matematiska Institutionen, Linkoepings Universitet, 581 83 Linkoeping, Sweden
Departamento de Matematicas Fundamentales Facultad de Ciencias, UNED 28040 Madrid, Spain
NETL
NSTL
Springer Nature
