Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds
Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds
The purpose of this paper is to study the bimeromorphic invariants of compact complex manifolds in terms of Bott–Chern cohomology. We prove a blow-up formula for Bott–Chern cohomology. As an application, we show that for compact complex threefolds the non-Kählerness degrees, introduced by Angella–Tomassini [Invent. Math. 192 (2013), 71–81], are …