Chern classes in Deligne cohomology for coherent analytic sheaves |
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Authors: | Julien Grivaux |
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Affiliation: | 1. Université Pierre et Marie Curie, 4, place Jussieu, 75252, Paris Cedex 05, France
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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 satisfy the functoriality property under pullbacks, the Whitney formula and the Grothendieck–Riemann–Roch theorem for projective morphisms between smooth complex compact manifolds. |
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