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dc.contributor.authorDegtyarev, A.en_US
dc.date.accessioned2019-01-24T15:34:05Z
dc.date.available2019-01-24T15:34:05Z
dc.date.issued2010en_US
dc.identifier.issn0040-8735
dc.identifier.urihttp://hdl.handle.net/11693/48317
dc.description.abstractWe construct explicit geometric models for and compute the fundamental groups of all plane sextics with simple singularities only and with at least one type E8 singular point. In particular, we discover four new sextics with nonabelian fundamental groups; two of them are irreducible. The groups of the two irreducible sextics found are finite. The principal tool used is the reduction to trigonal curves and Grothendieck’s dessins d’enfants.en_US
dc.language.isoEnglishen_US
dc.source.titleTohoku Mathematical Journalen_US
dc.relation.isversionofhttps://doi.org/10.2748/tmj/1287148615en_US
dc.subjectPlane sexticen_US
dc.subjectSingular curveen_US
dc.subjectFundamental groupen_US
dc.subjectTrigonal curveen_US
dc.subjectDessin d’enfanten_US
dc.titlePlane sextics with a type e8 singular pointen_US
dc.typeArticleen_US
dc.departmentDepartment of Mathematicsen_US
dc.citation.spage329en_US
dc.citation.epage355en_US
dc.citation.volumeNumber62en_US
dc.identifier.doi10.2748/tmj/1287148615en_US
dc.publisherTohoku Daigaku Suugaku Kyoshitsuen_US
dc.identifier.eissn2186-585X


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