, Volume 23, Issue 1, pp 73-77

Some consequences of the Riemann hypothesis for varieties over finite fields

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


We deduce from Deligne's form of the Riemann hypothesis and the hard Lefschetz theoremin l-adic cohomology the corresponding facts for any “reasonable” cohomology theory, in particular for crystalline cohomology, and give some applications to algebraic cycles.