Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics

In this paper we focus on the interplay between the behaviour of the Frölicher spectral sequence and the existence of special Hermitian metrics on the manifold, such as balanced, SKT or generalized Gauduchon. The study of balanced metrics on nilmanifolds endowed with strongly non-nilpotent complex s...

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Detalhes bibliográficos
Autores: Latorre, Adela, Ugarte, Luis, Villacampa, Raquel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Recursos:Universidad de Zaragoza
Repositorio:Zaguán. Repositorio Digital de la Universidad de Zaragoza
OAI Identifier:oai:zaguan.unizar.es:147193
Acesso em linha:http://zaguan.unizar.es/record/147193
Access Level:acceso abierto
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spelling Frölicher spectral sequence of compact complex manifolds with special Hermitian metricsLatorre, AdelaUgarte, LuisVillacampa, RaquelIn this paper we focus on the interplay between the behaviour of the Frölicher spectral sequence and the existence of special Hermitian metrics on the manifold, such as balanced, SKT or generalized Gauduchon. The study of balanced metrics on nilmanifolds endowed with strongly non-nilpotent complex structures allows us to provide infinite families of compact balanced manifolds with Frölicher spectral sequence not degenerating at the second page. Moreover, this result is extended to non-degeneration at any arbitrary page. Similar results are obtained for the Frölicher spectral sequence of compact generalized Gauduchon manifolds. We also find a compact SKT manifold whose Frölicher spectral sequence does not degenerate at the second page, thus providing a counterexample to a conjecture by Popovici.2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://zaguan.unizar.es/record/147193reponame:Zaguán. Repositorio Digital de la Universidad de Zaragozainstname:Universidad de ZaragozaInglésinfo:eu-repo/semantics/openAccessoai:zaguan.unizar.es:1471932026-05-29T13:59:51Z
dc.title.none.fl_str_mv Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
title Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
spellingShingle Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
Latorre, Adela
title_short Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
title_full Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
title_fullStr Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
title_full_unstemmed Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
title_sort Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
dc.creator.none.fl_str_mv Latorre, Adela
Ugarte, Luis
Villacampa, Raquel
author Latorre, Adela
author_facet Latorre, Adela
Ugarte, Luis
Villacampa, Raquel
author_role author
author2 Ugarte, Luis
Villacampa, Raquel
author2_role author
author
description In this paper we focus on the interplay between the behaviour of the Frölicher spectral sequence and the existence of special Hermitian metrics on the manifold, such as balanced, SKT or generalized Gauduchon. The study of balanced metrics on nilmanifolds endowed with strongly non-nilpotent complex structures allows us to provide infinite families of compact balanced manifolds with Frölicher spectral sequence not degenerating at the second page. Moreover, this result is extended to non-degeneration at any arbitrary page. Similar results are obtained for the Frölicher spectral sequence of compact generalized Gauduchon manifolds. We also find a compact SKT manifold whose Frölicher spectral sequence does not degenerate at the second page, thus providing a counterexample to a conjecture by Popovici.
publishDate 2024
dc.date.none.fl_str_mv 2024
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/147193
url http://zaguan.unizar.es/record/147193
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
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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score 15.811543

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