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arXiv · 2011.13759

Intersection theory and Chern classes in Bott-Chern cohomology

Xiaojun Wu
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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.

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Xiaojun Wu. 2020-11-27. Intersection theory and Chern classes in Bott-Chern cohomology. https://arxiv.org/abs/2011.13759

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