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math.AG2022
Non-injectivity of the cycle class map in continuous -adic cohomology
Federico Scavia, Fumiaki Suzuki
Jannsen asked whether the rational cycle class map in continuous -adic cohomology is injective, in every codimension for all smooth projective varieties over a field of finit…
math.AG2022★ 2 cited
Non-algebraic geometrically trivial cohomology classes over finite fields
Federico Scavia, Fumiaki Suzuki
We give the first examples of smooth projective varieties over a finite field admitting a non-algebraic torsion -adic cohomology class of degree which va…