On the connected branch loci of moduli spaces
(English)Manuscript (preprint) (Other academic)
The moduli space Mg of compact Riemann surfaces of genus g has orbifold structure and the set of singular points of such orbifold is the branch locus Bg. In this article we show that Bg is connected exactly for genera three, four, thirteen, seventeen, nineteen and fitfynine by the use automorphisms of order 5 and 7 of Riemann surfaces, and calculations with GAP for some small genera.
IdentifiersURN: urn:nbn:se:liu:diva-78018OAI: oai:DiVA.org:liu-78018DiVA: diva2:530790