On the bott-chern cohomology and balanced hermitian nilmanifolds

The Bott–Chern cohomology of six-dimensional nilmanifolds endowed with invariant complex structure is studied with special attention to the cases when balanced or strongly Gauduchon Hermitian metrics exist. We consider complex invariants introduced by Angella and Tomassini and by Schweitzer, which a...

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Detalles Bibliográficos
Autores: Latorre, A., Ugarte, L., Villacampa, R.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2014
País:España
Institución:Universidad de Zaragoza
Repositorio:Zaguán. Repositorio Digital de la Universidad de Zaragoza
OAI Identifier:oai:zaguan.unizar.es:131057
Acceso en línea:http://zaguan.unizar.es/record/131057
Access Level:acceso abierto
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spelling On the bott-chern cohomology and balanced hermitian nilmanifoldsLatorre, A.Ugarte, L.Villacampa, R.The Bott–Chern cohomology of six-dimensional nilmanifolds endowed with invariant complex structure is studied with special attention to the cases when balanced or strongly Gauduchon Hermitian metrics exist. We consider complex invariants introduced by Angella and Tomassini and by Schweitzer, which are related to the -lemma condition and defined in terms of the Bott–Chern cohomology, and show that the vanishing of some of these invariants is not a closed property under holomorphic deformations. In the balanced case, we determine the spaces that parametrize deformations in type IIB supergravity described by Tseng and Yau in terms of the Bott–Chern cohomology group of bidegree (2, 2).2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://zaguan.unizar.es/record/131057reponame:Zaguán. Repositorio Digital de la Universidad de Zaragozainstname:Universidad de ZaragozaInglésinfo:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01info:eu-repo/semantics/openAccessoai:zaguan.unizar.es:1310572026-05-29T13:59:51Z
dc.title.none.fl_str_mv On the bott-chern cohomology and balanced hermitian nilmanifolds
title On the bott-chern cohomology and balanced hermitian nilmanifolds
spellingShingle On the bott-chern cohomology and balanced hermitian nilmanifolds
Latorre, A.
title_short On the bott-chern cohomology and balanced hermitian nilmanifolds
title_full On the bott-chern cohomology and balanced hermitian nilmanifolds
title_fullStr On the bott-chern cohomology and balanced hermitian nilmanifolds
title_full_unstemmed On the bott-chern cohomology and balanced hermitian nilmanifolds
title_sort On the bott-chern cohomology and balanced hermitian nilmanifolds
dc.creator.none.fl_str_mv Latorre, A.
Ugarte, L.
Villacampa, R.
author Latorre, A.
author_facet Latorre, A.
Ugarte, L.
Villacampa, R.
author_role author
author2 Ugarte, L.
Villacampa, R.
author2_role author
author
description The Bott–Chern cohomology of six-dimensional nilmanifolds endowed with invariant complex structure is studied with special attention to the cases when balanced or strongly Gauduchon Hermitian metrics exist. We consider complex invariants introduced by Angella and Tomassini and by Schweitzer, which are related to the -lemma condition and defined in terms of the Bott–Chern cohomology, and show that the vanishing of some of these invariants is not a closed property under holomorphic deformations. In the balanced case, we determine the spaces that parametrize deformations in type IIB supergravity described by Tseng and Yau in terms of the Bott–Chern cohomology group of bidegree (2, 2).
publishDate 2014
dc.date.none.fl_str_mv 2014
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 http://zaguan.unizar.es/record/131057
url http://zaguan.unizar.es/record/131057
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv
publisher.none.fl_str_mv
dc.source.none.fl_str_mv reponame:Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname:Universidad de Zaragoza
instname_str Universidad de Zaragoza
reponame_str Zaguán. Repositorio Digital de la Universidad de Zaragoza
collection Zaguán. Repositorio Digital de la Universidad de Zaragoza
repository.name.fl_str_mv
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