5 citations · 13 across the 10 of their papers we have counts for
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Vanishing of degree unramified cohomology over finite fields
Federico Scavia, Fumiaki Suzuki
Let be a finite field of characteristic , let be the Fermat cubic curve, and let be a prime. If , assume moreover that . The…
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…
Birational superrigidity and K-stability of projectively normal Fano manifolds of index one
Fumiaki Suzuki
We prove that every projectively normal Fano manifold in of index , codimension and dimension is birationally superrigid and K-stable. This re…
A remark on a -fold constructed by Colliot-Thélène and Voisin
Fumiaki Suzuki
A classical question asks whether the Abel-Jacobi map is universal among all regular homomorphisms. In this paper, we prove that we can construct a -fold which gives the negativ…
Birational rigidity of complete intersections
Fumiaki Suzuki
We prove that every smooth complete intersection X defined by s hypersurfaces of degree d_1, ... , d_s in a projective space of dimension d_1 + ... + d_s is birationally superrigid…
On birational superrigidity and conditional birational superrigidity of certain Fano hypersurfaces
Fumiaki Suzuki
We prove birational superrigidity of every hypersurface of degree N in P^N with singular locus of dimension s, under the assumption that N is at least 2s+8 and it has only quadrati…