Intersection theory and Chern classes in Bott-Chern cohomology

DOI10.4310/ARKIV.2023.V61.N1.A11zbMATH Open1523.32029arXiv2011.13759OpenAlexW4287586878MaRDI QIDQ6045829

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Publication date: 12 May 2023

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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.

Full work available at URL: https://arxiv.org/abs/2011.13759

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