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On the connectedness of the branch loci of non-orientable unbordered klein surfaces of low genus

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dc.contributor.authorBujalance García, Emilio
dc.contributor.authorEtayo Gordejuela, José Javier
dc.contributor.authorMartinez García, Ernesto
dc.contributor.authorSzepietowski, B.
dc.date.accessioned2023-06-19T13:27:56Z
dc.date.available2023-06-19T13:27:56Z
dc.date.issued2015
dc.description.abstractThis paper is devoted to determine the connectedness of the branch loci of the moduli space of non-orientable unbordered Klein surfaces. We obtain a result similar to Nielsen's in order to determine topological conjugacy of automorphisms of prime order on such surfaces. Using this result we prove that the branch locus is connected for surfaces of topological genus 4 and 5.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/28347
dc.identifier.citationBujalance García, E., Etayo Gordejuela, J. J., Martínez García, E. & Szepietowski, B. «ON THE CONNECTEDNESS OF THE BRANCH LOCI OF NON-ORIENTABLE UNBORDERED KLEIN SURFACES OF LOW GENUS». Glasgow Mathematical Journal, vol. 57, n.o 1, enero de 2015, pp. 211-30. DOI.org (Crossref), https://doi.org/10.1017/S0017089514000275.
dc.identifier.doi10.1017/S0017089514000275
dc.identifier.issn0017-0895
dc.identifier.officialurlhttps//doi.org/10.1017/S0017089514000275
dc.identifier.relatedurlhttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9474793&fulltextType=RA&fileId=S0017089514000275
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33780
dc.issue.number1
dc.journal.titleGlasgow Mathematical Journal
dc.page.final230
dc.page.initial211
dc.publisherCambridge univ press
dc.relation.projectIDMTM2011-23092
dc.relation.projectIDUCM910444
dc.relation.projectIDMTM2011-22435
dc.relation.projectIDNN201366436
dc.relation.projectIDNCN 2012/05/B/ST1/02171
dc.rights.accessRightsmetadata only access
dc.subject.cdu512
dc.subject.keywordRiemann surfaces
dc.subject.keywordModuli space
dc.subject.keywordCrystallographic groups
dc.subject.keywordTeichmuller space
dc.subject.keywordAutomorphisms
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleOn the connectedness of the branch loci of non-orientable unbordered klein surfaces of low genusen
dc.typejournal article
dc.volume.number57
dspace.entity.typePublication
relation.isAuthorOfPublication2275e5ec-53a7-4e0f-82d6-517cdf4cd56c
relation.isAuthorOfPublication.latestForDiscovery2275e5ec-53a7-4e0f-82d6-517cdf4cd56c

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