## Poincaré duality and Künneth formula for rigid cohomology. (Dualité de Poincaré et formule de Künneth en cohomologie rigide.)(French. Abridged English version)Zbl 0908.14006

Summary: Let $$k$$ be a field of characteristic $$p>0$$. Using methods analog to those of an earlier paper [P. Berthelot, Invent. Math. 128, No. 2, 329-377 (1997; see the preceding review)], we prove that Poincaré duality and the Künneth formula hold for the rigid cohomology of algebraic varieties over $$k$$.

### MSC:

 14F20 Étale and other Grothendieck topologies and (co)homologies 14F30 $$p$$-adic cohomology, crystalline cohomology 14G20 Local ground fields in algebraic geometry

### Keywords:

characteristic $$p$$; Poincaré duality; Künneth formula

Zbl 0908.14005
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