On the slope of fibred threefolds

We study from a geographical point of wiew fibrations of threefolds over smooth curves $f: T \longrightarrow B$ such that the general fibre is of general type. We prove the non-negativity of certain relative invariants under general hypotheses and give lower bounds for $K^3_{T/B}$ depending on other...

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Detalles Bibliográficos
Autor: Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/967
Acceso en línea:https://hdl.handle.net/2117/967
Access Level:acceso abierto
Palabra clave:Geometry, Algebraic
Surfaces
Fibred threefolds
slope
relative invariants
Fibrats (Matemàtica)
Superfícies
Varietats (Matemàtica)
Classificació AMS::14 Algebraic geometry::14D Families, fibrations
Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
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repository_id_str
spelling On the slope of fibred threefoldsBarja Yáñez, Miguel Ángel|||0000-0003-2822-3938Geometry, AlgebraicSurfacesFibred threefoldssloperelative invariantsFibrats (Matemàtica)SuperfíciesVarietats (Matemàtica)Classificació AMS::14 Algebraic geometry::14D Families, fibrationsClassificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varietiesWe study from a geographical point of wiew fibrations of threefolds over smooth curves $f: T \longrightarrow B$ such that the general fibre is of general type. We prove the non-negativity of certain relative invariants under general hypotheses and give lower bounds for $K^3_{T/B}$ depending on other relative invariants. We also study the influence of the relative irregularity $q(T)-g(B)$ on these bounds. A more detailed study of the lowest cases of the bounds is given.19981998-01-0120072007-05-09journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/967reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/9672026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the slope of fibred threefolds
title On the slope of fibred threefolds
spellingShingle On the slope of fibred threefolds
Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938
Geometry, Algebraic
Surfaces
Fibred threefolds
slope
relative invariants
Fibrats (Matemàtica)
Superfícies
Varietats (Matemàtica)
Classificació AMS::14 Algebraic geometry::14D Families, fibrations
Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
title_short On the slope of fibred threefolds
title_full On the slope of fibred threefolds
title_fullStr On the slope of fibred threefolds
title_full_unstemmed On the slope of fibred threefolds
title_sort On the slope of fibred threefolds
dc.creator.none.fl_str_mv Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938
author Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938
author_facet Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938
author_role author
dc.subject.none.fl_str_mv Geometry, Algebraic
Surfaces
Fibred threefolds
slope
relative invariants
Fibrats (Matemàtica)
Superfícies
Varietats (Matemàtica)
Classificació AMS::14 Algebraic geometry::14D Families, fibrations
Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
topic Geometry, Algebraic
Surfaces
Fibred threefolds
slope
relative invariants
Fibrats (Matemàtica)
Superfícies
Varietats (Matemàtica)
Classificació AMS::14 Algebraic geometry::14D Families, fibrations
Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
description We study from a geographical point of wiew fibrations of threefolds over smooth curves $f: T \longrightarrow B$ such that the general fibre is of general type. We prove the non-negativity of certain relative invariants under general hypotheses and give lower bounds for $K^3_{T/B}$ depending on other relative invariants. We also study the influence of the relative irregularity $q(T)-g(B)$ on these bounds. A more detailed study of the lowest cases of the bounds is given.
publishDate 1998
dc.date.none.fl_str_mv 1998
1998-01-01
2007
2007-05-09
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/967
url https://hdl.handle.net/2117/967
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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