Bott-Chern characteristic classes of blow-ups
Algebraic Geometry
2024-08-07 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2408.03210,
title = {Bott-Chern characteristic classes of blow-ups},
author = {Xiaojun Wu and Song Yang and Xiangdong Yang},
journal= {arXiv preprint arXiv:2408.03210},
year = {2024}
}
Comments
27 pages. Comments are welcome