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Bott-Chern characteristic classes of blow-ups

Published 6 Aug 2024 in math.AG and math.DG | (2408.03210v1)

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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Authors (3)

  1. Xiaojun Wu 
  2. Song Yang 
  3. Xiangdong Yang 

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