paper

Refined Chern characteristic classes of blow-ups

arXiv:2408.03210

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

28 pages. Replaced "Bott-Chern characteristic classes" by "Refined Chern characteristic classes". Final form to appear in Forum Math

Refined Chern characteristic classes of blow-ups · wovepaper