Chern classes in Deligne cohomology for coherent analytic sheaves
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 functorial-ity property under pullbacks, the Whitney formula and the Grothendieck-Riemann-Roch theorem for projective morphisms between smooth complex compact manifolds.
Domains
Algebraic Geometry [math.AG]| Origin | Files produced by the author(s) |
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