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Title
Chern classes in Deligne cohomology for coherent analytic sheaves.
Abstract
In this article, we construct Chern classes in rational Deligne cohomologyfor coherent sheaves on a smooth complex compact manifold.We prove that theseclasses satisfy the functoriality property under pullbacks, the Whitney formula andthe Grothendieck-Riemann-Roch theorem for projective morphisms between smoothcomplex compact manifolds.