Bott-Chern characteristic classes of blow-ups

2024/08/06 by Wu, Xiaojun, Yang, Song, Yang, Xiangdong
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2408.03210

Abstract

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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