Chern classes in Deligne cohomology for coherent analytic sheaves

Details Chern classes in Deligne cohomology for coherent analytic sheaves Chern classes in Deligne cohomology for coherent analytic sheaves

2007-12-13

arxiv.org/abs/0712.2207v8

Mathematics

Algebraic Geometry

Minor changes

Scientific paper

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.

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