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On the connectedness of the branch loci of moduli spaces of orientable Klein surfaces
Departamento de Matematicas Fundamentales, UNED.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9557-9566
Departamento de Matematicas Fundamentales, UNED.
2015 (English)In: Geometriae Dedicata, ISSN 0046-5755, E-ISSN 1572-9168, Vol. 177, no 1, 149-164 p.Article in journal (Refereed) Published
Abstract [en]

Let M K (g,+,k) be the moduli space of orientable Klein surfaces of genus g with k boundary components (see Alling and Greenleaf in Lecture notes in mathematics, vol 219. Springer, Berlin, 1971; Natanzon in Russ Math Surv 45(6):53–108, 1990). The space M K (g,+,k) has a natural orbifold structure with singular locus B K (g,+,k) . If g>2 or k>0 and 2g+k>3 the set B K (g,+,k) consists of the Klein surfaces admitting non-trivial symmetries and we prove that, in this case, the singular locus is connected.

Place, publisher, year, edition, pages
Springer Netherlands, 2015. Vol. 177, no 1, 149-164 p.
Keyword [en]
Klein surface, Riemann surface, Moduli space, Automorphism
National Category
URN: urn:nbn:se:liu:diva-113695DOI: 10.1007/s10711-014-9983-1ISI: 000358252200010OAI: diva2:784169
Spanska projekt MTM2011-23092
Available from: 2015-01-28 Created: 2015-01-28 Last updated: 2015-08-20Bibliographically approved

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Izquierdo, Milagros
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