56757 20210121114500.0 doi 10.1093/imrn/rnv112 sideral 95768 ART-2015-95768 eng Fino, A. Six-Dimensional Solvmanifolds with Holomorphically Trivial Canonical Bundle 2015 Access copy available to the general public Unrestricted We determine the 6D solvmanifolds admitting an invariant complex structure with holomorphically trivial canonical bundle. Such complex structures are classified up to isomorphism, and the existence of strong Kähler with torsion, generalized Gauduchon, balanced and strongly Gauduchon metrics is studied. As an application, we construct a holomorphic family (M,Ja) of compact complex manifolds such that (M,Ja) satisfies the ¿¿¯-lemma and admits a balanced metric for any a¿0, but the central limit neither satisfies the ¿¿¯-lemma nor admits balanced metrics. info:eu-repo/semantics/openAccess by-nc http://creativecommons.org/licenses/by-nc/3.0/es/ 1.031 2015 MATHEMATICS 54 / 312 = 0.173 2015 Q1 T1 2.11 2015 Mathematics (miscellaneous) 2015 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0002-1567-7159 Otal, A. (orcid)0000-0003-2207-8653 Ugarte L. Universidad de Zaragoza 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 24 (2015), 13757-13799 Int. math. res. not. INTERNATIONAL MATHEMATICS RESEARCH NOTICES 1073-7928 479641 http://zaguan.unizar.es/record/56757/files/texto_completo.pdf Postprint 67657 http://zaguan.unizar.es/record/56757/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:56757 articulos driver 2021-01-21-10:51:06 ARTICLE