English

Classes de Chern en cohomologie rigide

Algebraic Geometry 2007-05-23 v1

Abstract

In this paper, I construct Chern classes in the rigid cohomology of P. Berthelot. We start by constructing Chern classes for proper varieties. To prove all the properties we have to reinterpret the construction in a crystalline way. Then we can deal with open varieties using a compactification theorem.

Keywords

Cite

@article{arxiv.math/0103117,
  title  = {Classes de Chern en cohomologie rigide},
  author = {Petrequin Denis},
  journal= {arXiv preprint arXiv:math/0103117},
  year   = {2007}
}

Comments

34 pages

R2 v1 2026-07-22T16:37:45.898Z