×

Chern classes and cycle classes in rigid cohomology. (Classes de Chern et classes de cycles en cohomologie rigide). (French) Zbl 1083.14505

Summary: We define in this article Chern classes and cycle classes in rigid cohomology. Then we prove that these constructions verify the expected properties. The rigid cohomology is a Weil cohomology.

MSC:

14F30 \(p\)-adic cohomology, crystalline cohomology
14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
14G22 Rigid analytic geometry
PDF BibTeX XML Cite
Full Text: DOI arXiv Link