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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★ 1 cited
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…