Bott-Chern blow-up formulae and bimeromorphic invariance of the $partial overline {partial }$-Lemma for threefolds
Bott-Chern blow-up formulae and bimeromorphic invariance of the $partial overline {partial }$-Lemma for threefolds
复制标题
Bott-Chern 爆炸公式和三重 $partial 上划线 {partial }$-引理的双亚同构
DOI：
10.1090/tran/8213
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发表时间：
2020
影响因子：
1.3
通讯作者：
Xiangdong Yang
中科院分区：
文献类型：
--
作者：
Song Yang;Xiangdong Yang
研究了紧致复流形的Bott-Chern上同调双纯不变量。证明了Bott-Chern上同调的一个爆破公式。作为一个应用，我们表明，对于紧凑的复杂的三倍的非Küahlerness度，introduced.by安杰拉-托马西尼[发明。192（2013），71-81]，是双同态不变量。因此，关于三重的λ-引理允许双半纯不变性。
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-K¨ahlerness degrees, introduced.by Angella–Tomassini [Invent. Math. 192 (2013), 71–81], are bimeromorphic invariants. Consequently, the ∂ ¯∂-Lemma on threefolds admits the.bimeromorphic invariance.