On holomorphic distributions on Fano threefolds

This paper is devoted to the study of holomorphic distributions of dimension and codimension one on smooth weighted projective complete intersection Fano manifolds X which is threedimensional and with Picard number equal to one. We study the relations between algebro-geometric properties of the sing...

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Detalles Bibliográficos
Autores: Cavalcante, Alana, Corrêa, Mauricio, Marchesi, Simone
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2020
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/193820
Acceso en línea:https://hdl.handle.net/2445/193820
Access Level:acceso abierto
Palabra clave:Foliacions (Matemàtica)
Topologia diferencial
Homologia
Foliations (Mathematics)
Differential topology
Homology
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spelling On holomorphic distributions on Fano threefoldsCavalcante, AlanaCorrêa, MauricioMarchesi, SimoneFoliacions (Matemàtica)Topologia diferencialHomologiaFoliations (Mathematics)Differential topologyHomologyThis paper is devoted to the study of holomorphic distributions of dimension and codimension one on smooth weighted projective complete intersection Fano manifolds X which is threedimensional and with Picard number equal to one. We study the relations between algebro-geometric properties of the singular set of singular holomorphic distributions and their associated sheaves. We characterize either distributions whose tangent sheaf or conormal sheaf are arithmetically Cohen Macaulay (aCM) on X. We also prove that a codimension one locally free distribution with trivial canonical bundle on any Fano threefold, with Picard number equal to one, has a tangent sheaf which either splits or it is stable.Elsevier B.V.2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/193820Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.1016/j.jpaa.2019.106272Journal of Pure and Applied Algebra, 2020, vol. 224, num. 6https://doi.org/10.1016/j.jpaa.2019.106272cc-by-nc-nd (c) Elsevier B.V., 2020https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1938202026-05-27T06:46:51Z
dc.title.none.fl_str_mv On holomorphic distributions on Fano threefolds
title On holomorphic distributions on Fano threefolds
spellingShingle On holomorphic distributions on Fano threefolds
Cavalcante, Alana
Foliacions (Matemàtica)
Topologia diferencial
Homologia
Foliations (Mathematics)
Differential topology
Homology
title_short On holomorphic distributions on Fano threefolds
title_full On holomorphic distributions on Fano threefolds
title_fullStr On holomorphic distributions on Fano threefolds
title_full_unstemmed On holomorphic distributions on Fano threefolds
title_sort On holomorphic distributions on Fano threefolds
dc.creator.none.fl_str_mv Cavalcante, Alana
Corrêa, Mauricio
Marchesi, Simone
author Cavalcante, Alana
author_facet Cavalcante, Alana
Corrêa, Mauricio
Marchesi, Simone
author_role author
author2 Corrêa, Mauricio
Marchesi, Simone
author2_role author
author
dc.subject.none.fl_str_mv Foliacions (Matemàtica)
Topologia diferencial
Homologia
Foliations (Mathematics)
Differential topology
Homology
topic Foliacions (Matemàtica)
Topologia diferencial
Homologia
Foliations (Mathematics)
Differential topology
Homology
description This paper is devoted to the study of holomorphic distributions of dimension and codimension one on smooth weighted projective complete intersection Fano manifolds X which is threedimensional and with Picard number equal to one. We study the relations between algebro-geometric properties of the singular set of singular holomorphic distributions and their associated sheaves. We characterize either distributions whose tangent sheaf or conormal sheaf are arithmetically Cohen Macaulay (aCM) on X. We also prove that a codimension one locally free distribution with trivial canonical bundle on any Fano threefold, with Picard number equal to one, has a tangent sheaf which either splits or it is stable.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/193820
url https://hdl.handle.net/2445/193820
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1016/j.jpaa.2019.106272
Journal of Pure and Applied Algebra, 2020, vol. 224, num. 6
https://doi.org/10.1016/j.jpaa.2019.106272
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Elsevier B.V., 2020
https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Elsevier B.V., 2020
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
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 15,300719

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