Intersection theory and Chern classes in Bott-Chern cohomology
Complex Variables
2022-10-13 v2
Abstract
In this article, we investigate an axiomatic approach introduced by Grivaux for the study of rational Bott-Chern cohomology, and use it in that context to define Chern classes of coherent sheaves. This method also allows us to derive a Riemann-Roch-Grothendieck formula for a projective morphism between smooth complex compact manifolds.
Cite
@article{arxiv.2011.13759,
title = {Intersection theory and Chern classes in Bott-Chern cohomology},
author = {Xiaojun Wu},
journal= {arXiv preprint arXiv:2011.13759},
year = {2022}
}
Comments
36 pages, final version, accepted by Arkiv f\"or Matematik