论文标题
胸骨过度酒精学和双形型不变性
Bott-Chern hypercohomology and bimeromorphic invariants
论文作者
论文摘要
本文的目的是从双形态的角度研究胸骨过度酒精学的几何形状。我们构建了一些新的双形性不变性，涉及pluriharmonic功能细菌，截短的Holomorphic de Rham的同胞和DE RHAM的共同体的共同体学。为了定义这些不变性，使用捆纱理论方法，我们建立了一个爆炸的公式，以及用于鸡巴洁变的高度酒精学的规范形态。特别是，我们计算一些紧凑的复合体三倍的不变性，例如静脉歧管和五重的三倍。
The aim of this article is to study the geometry of Bott-Chern hypercohomology from the bimeromorphic point of view. We construct some new bimeromorphic invariants involving the cohomology for the sheaf of germs of pluriharmonic functions, the truncated holomorphic de Rham cohomology, and the de Rham cohomology. To define these invariants, using a sheaf-theoretic approach, we establish a blow-up formula together with a canonical morphism for the Bott-Chern hypercohomology. In particular, we compute the invariants of some compact complex threefolds, such as Iwasawa manifolds and quintic threefolds.
