Surfaces on the Severi line

Let S be a minimal complex surface of general type and of maximal Albanese dimension; by the Severi inequality one has K-S(2) >= 4 chi(O-S). We prove that the equality K-S(2) = 4 chi(O-S) holds if and only if q(S) := h(1)(Os) = 2 and the canonical model of S is a double cover of the Albanese surf...

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Detalles Bibliográficos
Autores: Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938, Pardini, Rita, Stoppino, Lidia
Tipo de recurso: artículo
Fecha de publicación:2016
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:2117/103930
Acceso en línea:https://hdl.handle.net/2117/103930
https://dx.doi.org/10.1016/j.matpur.2015.11.012
Access Level:acceso abierto
Palabra clave:Algebraic topology
Linear systems
Surfaces of general type
Severi inequality
Etale coverings
Irregular varieties
general type
inequality
varieties
Topologia algebraica
Sistemes lineals
Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
Classificació AMS::14 Algebraic geometry::14E Birational geometry
Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes
Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling Surfaces on the Severi lineBarja Yáñez, Miguel Ángel|||0000-0003-2822-3938Pardini, RitaStoppino, LidiaAlgebraic topologyLinear systemsSurfaces of general typeSeveri inequalityEtale coveringsIrregular varietiesgeneral typeinequalityvarietiesTopologia algebraicaSistemes linealsClassificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varietiesClassificació AMS::14 Algebraic geometry::14E Birational geometryClassificació AMS::14 Algebraic geometry::14C Cycles and subschemesÀrees temàtiques de la UPC::Matemàtiques i estadísticaLet S be a minimal complex surface of general type and of maximal Albanese dimension; by the Severi inequality one has K-S(2) >= 4 chi(O-S). We prove that the equality K-S(2) = 4 chi(O-S) holds if and only if q(S) := h(1)(Os) = 2 and the canonical model of S is a double cover of the Albanese surface branched on an ample divisor with at most negligible singularities. (C) 2015 Elsevier Masson SAS. All rights reserved.Peer Reviewed20162016-05-0120172017-05-03journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/103930https://dx.doi.org/10.1016/j.matpur.2015.11.012reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1039302026-05-27T15:37:01Z
dc.title.none.fl_str_mv Surfaces on the Severi line
title Surfaces on the Severi line
spellingShingle Surfaces on the Severi line
Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938
Algebraic topology
Linear systems
Surfaces of general type
Severi inequality
Etale coverings
Irregular varieties
general type
inequality
varieties
Topologia algebraica
Sistemes lineals
Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
Classificació AMS::14 Algebraic geometry::14E Birational geometry
Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Surfaces on the Severi line
title_full Surfaces on the Severi line
title_fullStr Surfaces on the Severi line
title_full_unstemmed Surfaces on the Severi line
title_sort Surfaces on the Severi line
dc.creator.none.fl_str_mv Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938
Pardini, Rita
Stoppino, Lidia
author Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938
author_facet Barja Yáñez, Miguel Ángel|||0000-0003-2822-3938
Pardini, Rita
Stoppino, Lidia
author_role author
author2 Pardini, Rita
Stoppino, Lidia
author2_role author
author
dc.subject.none.fl_str_mv Algebraic topology
Linear systems
Surfaces of general type
Severi inequality
Etale coverings
Irregular varieties
general type
inequality
varieties
Topologia algebraica
Sistemes lineals
Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
Classificació AMS::14 Algebraic geometry::14E Birational geometry
Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Algebraic topology
Linear systems
Surfaces of general type
Severi inequality
Etale coverings
Irregular varieties
general type
inequality
varieties
Topologia algebraica
Sistemes lineals
Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
Classificació AMS::14 Algebraic geometry::14E Birational geometry
Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes
Àrees temàtiques de la UPC::Matemàtiques i estadística
description Let S be a minimal complex surface of general type and of maximal Albanese dimension; by the Severi inequality one has K-S(2) >= 4 chi(O-S). We prove that the equality K-S(2) = 4 chi(O-S) holds if and only if q(S) := h(1)(Os) = 2 and the canonical model of S is a double cover of the Albanese surface branched on an ample divisor with at most negligible singularities. (C) 2015 Elsevier Masson SAS. All rights reserved.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-05-01
2017
2017-05-03
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/103930
https://dx.doi.org/10.1016/j.matpur.2015.11.012
url https://hdl.handle.net/2117/103930
https://dx.doi.org/10.1016/j.matpur.2015.11.012
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 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/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 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/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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