000117968 001__ 117968 000117968 005__ 20240319081001.0 000117968 0247_ $$2doi$$a10.1007/s00209-021-02861-0 000117968 0248_ $$2sideral$$a126312 000117968 037__ $$aART-2022-126312 000117968 041__ $$aeng 000117968 100__ $$aPopovici, D. 000117968 245__ $$aDeformations of higher-page analogues of ¿¿¯-manifolds 000117968 260__ $$c2022 000117968 5060_ $$aAccess copy available to the general public$$fUnrestricted 000117968 5203_ $$aWe extend the notion of small essential deformations of Calabi–Yau complex structures from the case of the Iwasawa manifold, for which they were introduced recently by the first-named author, to the general case of page-1-¿¿¯ -manifolds that were jointly introduced very recently by all three authors. We go on to obtain an analogue of the unobstructedness theorem of Bogomolov, Tian and Todorov for Calabi–Yau page-1-¿¿¯ -manifolds. As applications of this discussion, we study the small deformations of certain Nakamura solvmanifolds and reinterpret the cases of the Iwasawa manifold and its 5-dimensional analogue from this standpoint. 000117968 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-17R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P 000117968 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000117968 590__ $$a0.8$$b2022 000117968 591__ $$aMATHEMATICS$$b170 / 329 = 0.517$$c2022$$dQ3$$eT2 000117968 594__ $$a1.4$$b2022 000117968 592__ $$a1.138$$b2022 000117968 593__ $$aMathematics (miscellaneous)$$c2022$$dQ1 000117968 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000117968 700__ $$aStelzig, J. 000117968 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte, L.$$uUniversidad de Zaragoza 000117968 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000117968 773__ $$g300 (2022), 2611-2635$$pMath. Z.$$tMATHEMATISCHE ZEITSCHRIFT$$x0025-5874 000117968 8564_ $$s366915$$uhttps://zaguan.unizar.es/record/117968/files/texto_completo.pdf$$yVersión publicada 000117968 8564_ $$s1134829$$uhttps://zaguan.unizar.es/record/117968/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000117968 909CO $$ooai:zaguan.unizar.es:117968$$particulos$$pdriver 000117968 951__ $$a2024-03-18-14:11:13 000117968 980__ $$aARTICLE