Special Hermitian metrics, complex nilmanifolds and holomorphic deformations

This paper considers compact complex manifolds with special Hermitian metrics, mainly balanced and strongly Gauduchon metrics. The main aim is to study the interaction of several complex invariants of cohomological type and metric properties of compact complex manifolds, as well as their behavior un...

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Detalhes bibliográficos
Autor: Ugarte Vilumbrales, Luis
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Recursos:Universidad de Zaragoza
Repositorio:Zaguán. Repositorio Digital de la Universidad de Zaragoza
OAI Identifier:oai:zaguan.unizar.es:165747
Acesso em linha:http://zaguan.unizar.es/record/165747
Access Level:acceso abierto
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spelling Special Hermitian metrics, complex nilmanifolds and holomorphic deformationsUgarte Vilumbrales, LuisThis paper considers compact complex manifolds with special Hermitian metrics, mainly balanced and strongly Gauduchon metrics. The main aim is to study the interaction of several complex invariants of cohomological type and metric properties of compact complex manifolds, as well as their behavior under holomorphic deformation of the complex structure. It is proved that the class of complex nilmanifolds provides a very rich source of explicit examples of analytic families of compact complex manifolds with interesting and unusual behaviors in their central fibers. It is shown that the complex geometry of the 6-dimensional manifold which is the product of two copies of the Heisenberg nilmanifold allows one to construct a holomorphic deformation with interesting properties in its central limit.2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://zaguan.unizar.es/record/165747reponame: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:1657472026-05-29T13:59:51Z
dc.title.none.fl_str_mv Special Hermitian metrics, complex nilmanifolds and holomorphic deformations
title Special Hermitian metrics, complex nilmanifolds and holomorphic deformations
spellingShingle Special Hermitian metrics, complex nilmanifolds and holomorphic deformations
Ugarte Vilumbrales, Luis
title_short Special Hermitian metrics, complex nilmanifolds and holomorphic deformations
title_full Special Hermitian metrics, complex nilmanifolds and holomorphic deformations
title_fullStr Special Hermitian metrics, complex nilmanifolds and holomorphic deformations
title_full_unstemmed Special Hermitian metrics, complex nilmanifolds and holomorphic deformations
title_sort Special Hermitian metrics, complex nilmanifolds and holomorphic deformations
dc.creator.none.fl_str_mv Ugarte Vilumbrales, Luis
author Ugarte Vilumbrales, Luis
author_facet Ugarte Vilumbrales, Luis
author_role author
description This paper considers compact complex manifolds with special Hermitian metrics, mainly balanced and strongly Gauduchon metrics. The main aim is to study the interaction of several complex invariants of cohomological type and metric properties of compact complex manifolds, as well as their behavior under holomorphic deformation of the complex structure. It is proved that the class of complex nilmanifolds provides a very rich source of explicit examples of analytic families of compact complex manifolds with interesting and unusual behaviors in their central fibers. It is shown that the complex geometry of the 6-dimensional manifold which is the product of two copies of the Heisenberg nilmanifold allows one to construct a holomorphic deformation with interesting properties in its central limit.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://zaguan.unizar.es/record/165747
url http://zaguan.unizar.es/record/165747
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
repository.mail.fl_str_mv
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