DOI: 10.1515/forum-2026-0042 ISSN: 0933-7741

Refined Chern characteristic classes of blow-ups

Xiaojun Wu, Song Yang, Xiangdong Yang
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Abstract

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 behavior of the refined Chern characteristic classes of the Iwasawa manifold under a blow-up transformation.

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