Xiao's conjecture for general fibred surfaces

We prove that the genus $g$, the relative irregularity $q_f$ and the Clifford index $c_f$ of a non-isotrivial fibration $f$ satisfy the inequality $q_f \leq g-c_f$. This gives in particular a proof of Xiao's conjecture for fibrations whose general fibres have maximal Clifford index.

Detalles Bibliográficos
Autores: Barja, Miguel Ángel, González-Alonso, Víctor, Naranjo del Val, Juan Carlos
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/197444
Acceso en línea:https://hdl.handle.net/2445/197444
Access Level:acceso abierto
Palabra clave:Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Algebraic surfaces
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spelling Xiao's conjecture for general fibred surfacesBarja, Miguel ÁngelGonzález-Alonso, VíctorNaranjo del Val, Juan CarlosGeometria algebraicaSuperfícies algebraiquesAlgebraic geometryAlgebraic surfacesWe prove that the genus $g$, the relative irregularity $q_f$ and the Clifford index $c_f$ of a non-isotrivial fibration $f$ satisfy the inequality $q_f \leq g-c_f$. This gives in particular a proof of Xiao's conjecture for fibrations whose general fibres have maximal Clifford index.Walter de Gruyter2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/197444Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1515/crelle-2015-0080Journal für die Reine und Angewandte Mathematik, 2016, vol. 18, num. 739, p. 297-308https://doi.org/10.1515/crelle-2015-0080(c) Walter de Gruyter, 2016info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1974442026-05-27T06:46:51Z
dc.title.none.fl_str_mv Xiao's conjecture for general fibred surfaces
title Xiao's conjecture for general fibred surfaces
spellingShingle Xiao's conjecture for general fibred surfaces
Barja, Miguel Ángel
Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Algebraic surfaces
title_short Xiao's conjecture for general fibred surfaces
title_full Xiao's conjecture for general fibred surfaces
title_fullStr Xiao's conjecture for general fibred surfaces
title_full_unstemmed Xiao's conjecture for general fibred surfaces
title_sort Xiao's conjecture for general fibred surfaces
dc.creator.none.fl_str_mv Barja, Miguel Ángel
González-Alonso, Víctor
Naranjo del Val, Juan Carlos
author Barja, Miguel Ángel
author_facet Barja, Miguel Ángel
González-Alonso, Víctor
Naranjo del Val, Juan Carlos
author_role author
author2 González-Alonso, Víctor
Naranjo del Val, Juan Carlos
author2_role author
author
dc.subject.none.fl_str_mv Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Algebraic surfaces
topic Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Algebraic surfaces
description We prove that the genus $g$, the relative irregularity $q_f$ and the Clifford index $c_f$ of a non-isotrivial fibration $f$ satisfy the inequality $q_f \leq g-c_f$. This gives in particular a proof of Xiao's conjecture for fibrations whose general fibres have maximal Clifford index.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/197444
url https://hdl.handle.net/2445/197444
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1515/crelle-2015-0080
Journal für die Reine und Angewandte Mathematik, 2016, vol. 18, num. 739, p. 297-308
https://doi.org/10.1515/crelle-2015-0080
dc.rights.none.fl_str_mv (c) Walter de Gruyter, 2016
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Walter de Gruyter, 2016
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Walter de Gruyter
publisher.none.fl_str_mv Walter de Gruyter
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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