2 citations · 5 across the 5 of their papers we have counts for
8 papers
Two coniveau filtrations and algebraic equivalence over finite fields
Federico Scavia, Fumiaki Suzuki
We extend the basic theory of the coniveau and strong coniveau filtrations to the -adic setting. By adapting the examples of Benoist--Ottem to the -adic context, we sho…
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…
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…
Higher-dimensional Calabi-Yau varieties with dense sets of rational points
Fumiaki Suzuki
We construct higher-dimensional Calabi-Yau varieties defined over a given number field with Zariski dense sets of rational points. We give two elementary constructions in arbitrary…
Factorization of the Abel-Jacobi maps
Fumiaki Suzuki
As an application of the theory of Lawson homology and morphic cohomology, Walker proved that the Abel-Jacobi map factors through another regular homomorphism. In this note, we giv…
A pencil of Enriques surfaces with non-algebraic integral Hodge classes
John Christian Ottem, Fumiaki Suzuki
We prove that there exists a pencil of Enriques surfaces defined over with non-algebraic integral Hodge classes of non-torsion type. This gives the first example of a…