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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

Citations:

Zbl 0908.14005
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