000147193 001__ 147193
000147193 005__ 20241212141913.0
000147193 0247_ $$2doi$$a10.1007/s10455-024-09972-x
000147193 0248_ $$2sideral$$a140971
000147193 037__ $$aART-2024-140971
000147193 041__ $$aeng
000147193 100__ $$aLatorre, Adela
000147193 245__ $$aFrölicher spectral sequence of compact complex manifolds with special Hermitian metrics
000147193 260__ $$c2024
000147193 5060_ $$aAccess copy available to the general public$$fUnrestricted
000147193 5203_ $$aIn 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.
000147193 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000147193 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000147193 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte, Luis$$uUniversidad de Zaragoza
000147193 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa, Raquel$$uUniversidad de Zaragoza
000147193 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000147193 773__ $$g66, 3 (2024), 14 [28 pp.]$$pAnn. glob. anal. geom.$$tAnnals of Global Analysis and Geometry$$x0232-704X
000147193 8564_ $$s476212$$uhttps://zaguan.unizar.es/record/147193/files/texto_completo.pdf$$yVersión publicada
000147193 8564_ $$s1206510$$uhttps://zaguan.unizar.es/record/147193/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000147193 909CO $$ooai:zaguan.unizar.es:147193$$particulos$$pdriver
000147193 951__ $$a2024-12-12-12:44:44
000147193 980__ $$aARTICLE