3 papers
math.AG2025
Constructible tori over Dedekind schemes
Adrien Morin, Takashi Suzuki
We introduce an exact category of torsion-free constructible tori and an abelian category of constructible tori over a Dedekind scheme with perfect residue fields. The first one ha…
math.NT2025
Duality invariance of Faltings heights, Hodge line bundles and global periods
Takashi Suzuki
We prove that an abelian variety and its dual over a global field have the same Faltings height and, more precisely, have isomorphic Hodge line bundles, including their natural met…
math.NT2018
Duality theories for p-primary etale cohomology III
Kazuya Kato, Takashi Suzuki
This paper is Part III of the series of work by the first named author on duality theories for p-primary etale cohomology, whose Parts I and II were published in 1986 and 1987, res…