000056757 001__ 56757
000056757 005__ 20210121114500.0
000056757 0247_ $$2doi$$a10.1093/imrn/rnv112
000056757 0248_ $$2sideral$$a95768
000056757 037__ $$aART-2015-95768
000056757 041__ $$aeng
000056757 100__ $$aFino, A.
000056757 245__ $$aSix-Dimensional Solvmanifolds with Holomorphically Trivial Canonical Bundle
000056757 260__ $$c2015
000056757 5060_ $$aAccess copy available to the general public$$fUnrestricted
000056757 5203_ $$aWe 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.
000056757 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/
000056757 590__ $$a1.031$$b2015
000056757 591__ $$aMATHEMATICS$$b54 / 312 = 0.173$$c2015$$dQ1$$eT1
000056757 592__ $$a2.11$$b2015
000056757 593__ $$aMathematics (miscellaneous)$$c2015$$dQ1
000056757 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000056757 700__ $$0(orcid)0000-0002-1567-7159$$aOtal, A.
000056757 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte L.$$uUniversidad de Zaragoza
000056757 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000056757 773__ $$g24 (2015), 13757-13799$$pInt. math. res. not.$$tINTERNATIONAL MATHEMATICS RESEARCH NOTICES$$x1073-7928
000056757 8564_ $$s479641$$uhttps://zaguan.unizar.es/record/56757/files/texto_completo.pdf$$yPostprint
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000056757 909CO $$ooai:zaguan.unizar.es:56757$$particulos$$pdriver
000056757 951__ $$a2021-01-21-10:51:06
000056757 980__ $$aARTICLE