Chern classes in Deligne cohomology for coherent analytic sheaves
Algebraic Geometry
2017-10-10 v8
Abstract
In this article, we construct Chern classes in rational Deligne cohomology for coherent sheaves on a smooth complex compact manifold. We prove that these classes verify the functoriality property under pullbacks, the Whitney formula and the Grothendieck-Riemann-Roch theorem for projective morphisms between smooth complex compact manifolds.
Keywords
Cite
@article{arxiv.0712.2207,
title = {Chern classes in Deligne cohomology for coherent analytic sheaves},
author = {Julien Grivaux},
journal= {arXiv preprint arXiv:0712.2207},
year = {2017}
}
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