Some consequences of the Riemann hypothesis for varieties over finite fields
- Cite this article as:
- Katz, N.M. & Messing, W. Invent Math (1974) 23: 73. doi:10.1007/BF01405203
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We deduce from Deligne's form of the Riemann hypothesis and the hard Lefschetz theoreminl-adic cohomology the corresponding facts for any “reasonable” cohomology theory, in particular for crystalline cohomology, and give some applications to algebraic cycles.