爆炸的博特-切恩特征类

arXiv - MATH - Differential Geometry Pub Date : 2024-08-06 DOI:arxiv-2408.03210

Xiaojun Wu, Song Yang, Xiangdong Yang

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引用次数: 0

摘要

我们证明了紧凑复流形的 Bott-Chern 特征类的吹胀公式。为此，我们为 Bott-Chern 特征类建立了一个无分母的黎曼-罗赫版本。特别是，作为应用，我们研究了岩泽流形的 Bott-Chern 特征类在吹胀变换下的行为。

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Bott-Chern characteristic classes of blow-ups

We prove a blow-up formula for Bott-Chern characteristic classes of compact complex manifolds. To this end, we establish a version of Riemann-Roch without denominators for the Bott-Chern characteristic classes. In particular, as an application, we study the behaviour of the Bott-Chern characteristic classes of the Iwasawa manifold under a blow-up transformation.

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arXiv - MATH - Differential Geometry

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