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Weights in arithmetic geometry. (English) Zbl 1204.14011

This is a survey on weights in arithmetic geometry. The author considers weights in Hodge theory, \(l\)-adic cohomology, \(p\)-adic cohomology. Some of his results concern Hasse principles in Galois cohomology of global fields.

MSC:

14F20 Étale and other Grothendieck topologies and (co)homologies
14F30 \(p\)-adic cohomology, crystalline cohomology
11G25 Varieties over finite and local fields
11G35 Varieties over global fields
11R34 Galois cohomology
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References:

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