000057785 001__ 57785
000057785 005__ 20190709135422.0
000057785 0247_ $$2doi$$a10.1090/proc/13244
000057785 0248_ $$2sideral$$a97052
000057785 037__ $$aART-2017-97052
000057785 041__ $$aeng
000057785 100__ $$0(orcid)0000-0001-5426-5248$$aLatorre, A.$$uUniversidad de Zaragoza
000057785 245__ $$aCohomological decomposition of compact complex manifolds and holomorphic deformations
000057785 260__ $$c2017
000057785 5060_ $$aAccess copy available to the general public$$fUnrestricted
000057785 5203_ $$aThe 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.
000057785 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P
000057785 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000057785 590__ $$a0.707$$b2017
000057785 591__ $$aMATHEMATICS$$b153 / 309 = 0.495$$c2017$$dQ2$$eT2
000057785 591__ $$aMATHEMATICS, APPLIED$$b178 / 252 = 0.706$$c2017$$dQ3$$eT3
000057785 592__ $$a1.183$$b2017
000057785 593__ $$aMathematics (miscellaneous)$$c2017$$dQ1
000057785 593__ $$aApplied Mathematics$$c2017$$dQ1
000057785 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000057785 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte, L.$$uUniversidad de Zaragoza
000057785 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000057785 773__ $$g145, 1 (2017), 335-353$$pProc. Am. Math. Soc.$$tPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY$$x0002-9939
000057785 8564_ $$s307012$$uhttps://zaguan.unizar.es/record/57785/files/texto_completo.pdf$$yVersión publicada
000057785 8564_ $$s59691$$uhttps://zaguan.unizar.es/record/57785/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000057785 909CO $$ooai:zaguan.unizar.es:57785$$particulos$$pdriver
000057785 951__ $$a2019-07-09-11:26:56
000057785 980__ $$aARTICLE