Mathematische Annalen

, Volume 347, Issue 2, pp 249–284 | Cite as

Chern classes in Deligne cohomology for coherent analytic sheaves

  • Julien GrivauxEmail author


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.


Exact Sequence Chern Class Cohomology Ring Free Resolution Holomorphic Vector Bundle 
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© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Université Pierre et Marie CurieParis Cedex 05France

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