Deformations of higher-page analogues of ¿¿¯-manifolds

Popovici, D. ; Stelzig, J. ; Ugarte, L. (Universidad de Zaragoza)

Resumen: We 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.

Idioma: Inglés

DOI: 10.1007/s00209-021-02861-0

Año: 2022

Publicado en: MATHEMATISCHE ZEITSCHRIFT 300 (2022), 2611-2635
ISSN: 0025-5874

Factor impacto JCR: 0.8 (2022)

Categ. JCR: MATHEMATICS rank: 170 / 329 = 0.517 (2022) - Q3 - T2

Factor impacto CITESCORE: 1.4 - Mathematics (Q3)

Factor impacto SCIMAGO: 1.138 - Mathematics (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)