The heredity and bimeromorphic invariance of the $\partial \protect \,\protect \overline{\protect \!\partial }$-lemma property

We give a simple proof of a result on the $\partial \bar{\partial }$-lemma property under a blow-up transformation by Deligne–Griffiths–Morgan–Sullivan’s criterion. Here, we use an explicit blow-up formula for Dolbeault cohomology given in our previous work, which can be induced by a morphism expres...

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Bibliographic Details
Published in:Comptes Rendus. Mathématique
Main Author: Meng, Lingxu
Format: Article
Language:English
Published: Académie des sciences 2021-08-01
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.203/