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math.DG2022★ 2 cited
Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds
Youming Chen
The purpose of this paper is to study the properties of holomorphic Poisson manifolds under the assumption of --lemma or $\partial_π\bar{\partial…
math.DG2022
Holomorphic Koszul-Brylinski homologies of Poisson blow-ups
Xiaojun Chen, Youming Chen, Song Yang +1
We derive a blow-up formula for holomorphic Koszul-Brylinski homologies of compact holomorphic Poisson manifolds. As applications, we investigate the invariance of the -dege…