Refined Chern characteristic classes of blow-ups
Xiaojun Wu, Song Yang, Xiangdong Yang · arXiv (Cornell University) · 2024
We prove a blow-up formula for refined Chern characteristic classes of compact complex manifolds. To this end, we establish a version of Riemann--Roch without denominators for the refined Chern characteristic classes. In particular, as an application, we study the behaviour of the refined Chern characteristic classes of the Iwasawa manifold under a blow-up transformation.