Intersection theory and Chern classes in Bott-Chern cohomology
arXiv:2011.13759
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.
36 pages, final version, accepted by Arkiv för Matematik