147193 20260217205607.0 doi 10.1007/s10455-024-09972-x sideral 140971 ART-2024-140971 eng Latorre, Adela Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics 2024 Access copy available to the general public Unrestricted 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. info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 0.7 2024 MATHEMATICS 242 / 492 = 0.492 2024 Q2 T2 0.619 2024 Geometry and Topology 2024 Q2 Analysis 2024 Q2 1.4 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Ugarte, Luis Universidad de Zaragoza (orcid)0000-0003-2207-8653 Villacampa, Raquel Universidad de Zaragoza (orcid)0000-0001-6790-7342 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 66, 3 (2024), 14 [28 pp.] Ann. glob. anal. geom. Annals of Global Analysis and Geometry 0232-704X 476212 http://zaguan.unizar.es/record/147193/files/texto_completo.pdf Versión publicada 1206510 http://zaguan.unizar.es/record/147193/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:147193 articulos driver 2026-02-17-20:47:34 ARTICLE