Stability of Pseudo-Kähler Manifolds and Cohomological Decomposition

Latorre, Adela ; Ugarte, Luis (Universidad de Zaragoza)

Resumen: We consider compact complex manifolds endowed with a pseudo-Kähler structure and study their stability under deformations. It is known that if the Bott-Chern number b1,1BC(Xt) is constant along a deformation Xt whose central fiber X0 is pseudo-Kähler, then Xt also admits a pseudo-Kähler structure, at least for sufficiently small t. Here we find another condition for stability related to the cohomological decomposition of complex manifolds.

Idioma: Inglés

DOI: 10.1007/978-3-031-05379-5_12

Año: 2022

Publicado en: Springer Proceedings in Mathematics & Statistics (2022), 207-222
ISSN: 2194-1009

Factor impacto SCIMAGO: 0.181 - Mathematics (miscellaneous)

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

Tipo y forma: Article (PostPrint)

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