On the Slope and Geography of Fibred Surfaces and Threefolds.

[eng] In this tesis we study numerical propieties of surfaces and threefolds, mainly fibred over curves, the so called "slope" of the fibration. We prove partially a conjecture of Fujita on the semiampleness of the direct image of the relative dualizing sheaf of a fibration. We give new lo...

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Detalles Bibliográficos
Autor: Barja Yáñez, Miguel Ángel
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:1998
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/35132
Acceso en línea:https://hdl.handle.net/2445/35132
http://www.tdx.cat/TDX-0227102-092419
http://hdl.handle.net/10803/655
Access Level:acceso abierto
Palabra clave:Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Surfaces, Algebraic
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spelling On the Slope and Geography of Fibred Surfaces and Threefolds.Barja Yáñez, Miguel ÁngelGeometria algebraicaSuperfícies algebraiquesAlgebraic geometrySurfaces, Algebraic[eng] In this tesis we study numerical propieties of surfaces and threefolds, mainly fibred over curves, the so called "slope" of the fibration. We prove partially a conjecture of Fujita on the semiampleness of the direct image of the relative dualizing sheaf of a fibration. We give new lower bounds of the slope of a fibred surface depending on data of the general fibre (existence of involutions) and on data of the hole surface (the fibration not being the Albanese morphism, for example). We study the case of threefolds over curves. We prove that, in general, the relative algebraic Euler characteristic is nonnegative and give lower bound for the slope. We classify the lowest cases of the invariants.Universitat de BarcelonaNaranjo del Val, Juan CarlosUniversitat de Barcelona. Departament d'Àlgebra i Geometria1998info:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/35132http://www.tdx.cat/TDX-0227102-092419http://hdl.handle.net/10803/655Tesis Doctorals - Departament - Algebra i Geometriareponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglés(c) Barja Yáñez, 1998info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/351322026-05-27T06:46:51Z
dc.title.none.fl_str_mv On the Slope and Geography of Fibred Surfaces and Threefolds.
title On the Slope and Geography of Fibred Surfaces and Threefolds.
spellingShingle On the Slope and Geography of Fibred Surfaces and Threefolds.
Barja Yáñez, Miguel Ángel
Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Surfaces, Algebraic
title_short On the Slope and Geography of Fibred Surfaces and Threefolds.
title_full On the Slope and Geography of Fibred Surfaces and Threefolds.
title_fullStr On the Slope and Geography of Fibred Surfaces and Threefolds.
title_full_unstemmed On the Slope and Geography of Fibred Surfaces and Threefolds.
title_sort On the Slope and Geography of Fibred Surfaces and Threefolds.
dc.creator.none.fl_str_mv Barja Yáñez, Miguel Ángel
author Barja Yáñez, Miguel Ángel
author_facet Barja Yáñez, Miguel Ángel
author_role author
dc.contributor.none.fl_str_mv Naranjo del Val, Juan Carlos
Universitat de Barcelona. Departament d'Àlgebra i Geometria
dc.subject.none.fl_str_mv Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Surfaces, Algebraic
topic Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Surfaces, Algebraic
description [eng] In this tesis we study numerical propieties of surfaces and threefolds, mainly fibred over curves, the so called "slope" of the fibration. We prove partially a conjecture of Fujita on the semiampleness of the direct image of the relative dualizing sheaf of a fibration. We give new lower bounds of the slope of a fibred surface depending on data of the general fibre (existence of involutions) and on data of the hole surface (the fibration not being the Albanese morphism, for example). We study the case of threefolds over curves. We prove that, in general, the relative algebraic Euler characteristic is nonnegative and give lower bound for the slope. We classify the lowest cases of the invariants.
publishDate 1998
dc.date.none.fl_str_mv 1998
dc.type.none.fl_str_mv info:eu-repo/semantics/doctoralThesis
info:eu-repo/semantics/publishedVersion
format doctoralThesis
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/35132
http://www.tdx.cat/TDX-0227102-092419
http://hdl.handle.net/10803/655
url https://hdl.handle.net/2445/35132
http://www.tdx.cat/TDX-0227102-092419
http://hdl.handle.net/10803/655
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv (c) Barja Yáñez, 1998
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Barja Yáñez, 1998
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat de Barcelona
publisher.none.fl_str_mv Universitat de Barcelona
dc.source.none.fl_str_mv Tesis Doctorals - Departament - Algebra i Geometria
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
_version_ 1869405690782547968
score 15.300719

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