arXiv subjects

Petrequin Denis

Publications and source records attributed to Petrequin Denis.

2 recordsLinked to original sources

arXiv2001

Classes de cycles en cohomologie rigide

We define the rigid homology. The trace morphism in rigid cohomology define by duality the cycle class in rigid homology. We verify the compatibility of this classes with rationnal equivalence and intersection theory. We deduce some formal consequences such as the Riemman-Roch-Grothendieck theorem in rigid cohomology and the self-intersection formula.

math.AG↗

arXiv2001

Classes de Chern en cohomologie rigide

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.

math.AG↗