English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The purpose of this paper is to study the bimeromorphic invariants of compactcomplex manifolds in terms of Bott-Chern cohomology. We prove a blow-up formulafor Bott-Chern cohomology. As an application, we show that for compact complexthreefolds the non-K\"{a}hlerness degrees, introduced by Angella-Tomassini[Invent. Math. 192, (2013), 71-81], are bimeromorphic invariants. Consequently,the $\partial\bar{\partial}$-Lemma on threefolds admits the bimeromorphicinvariance.

Bott-Chern blow-up formula and bimeromorphic invariance of the $\partial\bar{\partial}$-Lemma for threefolds