Classes de cycles en cohomologie rigide

Details Classes de cycles en cohomologie rigide Classes de cycles en cohomologie rigide

2001-03-20

arxiv.org/abs/math/0103127v1

Mathematics

Algebraic Geometry

27 pages

Scientific paper

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.

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