Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms

We construct a simply-connected compact complex non-Kähler manifold satisfying the ∂ ̅∂ -Lemma, and endowed with a balanced metric. To this aim, we were initially aimed at investigating the stability of the property of satisfying the ∂ ̅∂-Lemma under modifications of compact complex manifolds and or...

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Bibliographic Details
Main Authors: Angella Daniele, Suwa Tatsuo, Tardini Nicoletta, Tomassini Adriano
Format: Article
Language:English
Published: De Gruyter 2020-09-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2020-0103