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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2023-07-06-12:22:30)
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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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2023-07-06-12:22:30)
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Record created 2022-12-21, last modified 2023-07-06