## Frobenius and the Hodge filtration (estimates).(English)Zbl 0261.14005

### MSC:

 14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) 14G15 Finite ground fields in algebraic geometry 14G20 Local ground fields in algebraic geometry 14F30 $$p$$-adic cohomology, crystalline cohomology 14C30 Transcendental methods, Hodge theory (algebro-geometric aspects)
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