On the Alexander invariants of trigonal curves

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buir.contributor.authorÜçer, Melih
buir.contributor.orcidÜçer, Melih|0000-0001-5972-655X
dc.citation.epage286en_US
dc.citation.spage265en_US
dc.citation.volumeNumber35en_US
dc.contributor.authorÜçer, Melih
dc.date.accessioned2022-02-11T10:55:11Z
dc.date.available2022-02-11T10:55:11Z
dc.date.issued2021-01-02
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe show that most of the genus-zero subgroups of the braid group B3 (which are roughly the braid monodromy groups of the trigonal curves on the Hirzebruch surfaces) are irrelevant as far as the Alexander invariant is concerned: there is a very restricted class of “primitive” genus-zero subgroups such that these subgroups and their genus-zero intersections determine all the Alexander invariants. Then, we classify the primitive subgroups in a special subclass. This result implies the known classification of the dihedral covers of irreducible trigonal curves.en_US
dc.description.provenanceSubmitted by Merve Nalbant (merve.nalbant@bilkent.edu.tr) on 2022-02-11T10:55:11Z No. of bitstreams: 1 On_the_Alexander_invariants_of_trigonal_curves.pdf: 454994 bytes, checksum: c75d10967f764028ca7b54c03e8150c4 (MD5)en
dc.description.provenanceMade available in DSpace on 2022-02-11T10:55:11Z (GMT). No. of bitstreams: 1 On_the_Alexander_invariants_of_trigonal_curves.pdf: 454994 bytes, checksum: c75d10967f764028ca7b54c03e8150c4 (MD5) Previous issue date: 2021-01-02en
dc.identifier.doi10.1007/s13163-020-00381-9en_US
dc.identifier.eissn1988-2807
dc.identifier.issn1139-1138
dc.identifier.urihttp://hdl.handle.net/11693/77280
dc.language.isoEnglishen_US
dc.publisherSpringer - Verlag Italia Srlen_US
dc.relation.isversionofhttps://doi.org/10.1007/s13163-020-00381-9en_US
dc.source.titleRevista Matemática Complutenseen_US
dc.subjectTrigonal curveen_US
dc.subjectAlexander invarianten_US
dc.subjectBraid monodromyen_US
dc.subjectBurau representationen_US
dc.subjectModular groupen_US
dc.subjectDessin d’enfanten_US
dc.titleOn the Alexander invariants of trigonal curvesen_US
dc.typeArticleen_US

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