57785 20190709135422.0 doi 10.1090/proc/13244 sideral 97052 ART-2017-97052 eng (orcid)0000-0001-5426-5248 Latorre, A. Universidad de Zaragoza Cohomological decomposition of compact complex manifolds and holomorphic deformations 2017 Access copy available to the general public Unrestricted The main goal of this note is the study of pureness and fullness properties of compact complex manifolds under holomorphic deformations. Firstly, we construct small deformations of pure-and-full complex manifolds along which one of these properties is lost while the other one is preserved. Secondly, we show that the property of being pure-and-full is not closed under holomorphic deformations. In order to do so, we focus on the class of 6-dimensional solvmanifolds endowed with invariant complex structures. In the special case of nilmanifolds, we also give a classification of those invariant complex structures that are both pure and full. In addition, relations of the cohomological decomposition with other metric and complex properties are studied. info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01 info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.707 2017 MATHEMATICS 153 / 309 = 0.495 2017 Q2 T2 MATHEMATICS, APPLIED 178 / 252 = 0.706 2017 Q3 T3 1.183 2017 Mathematics (miscellaneous) 2017 Q1 Applied Mathematics 2017 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0003-2207-8653 Ugarte, L. Universidad de Zaragoza 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 145, 1 (2017), 335-353 Proc. Am. Math. Soc. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 0002-9939 307012 http://zaguan.unizar.es/record/57785/files/texto_completo.pdf Versión publicada 59691 http://zaguan.unizar.es/record/57785/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:57785 articulos driver 2019-07-09-11:26:56 ARTICLE