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Journal articles
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.
Cited literature [20 references]
https://hal.archives-ouvertes.fr/hal-01397887
Contributor : Julien Grivaux <>
Submitted on : Wednesday, November 16, 2016 - 2:20:18 PM
Last modification on : Thursday, December 10, 2020 - 10:56:18 AM
Long-term archiving on: : Thursday, March 16, 2017 - 5:47:45 PM
Contributor : Julien Grivaux <>
Submitted on : Wednesday, November 16, 2016 - 2:20:18 PM
Last modification on : Thursday, December 10, 2020 - 10:56:18 AM
Long-term archiving on: : Thursday, March 16, 2017 - 5:47:45 PM
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Chern 02 09 09.pdf
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