Takashi Suzuki

collaborators

4 papers

math.NT2026

On $μ$ -invariants and isogenies for abelian varieties over function fields

Sohan Ghosh, Jishnu Ray, Takashi Suzuki

We give several formulas for how Iwasawa $μ$ -invariants of abelian varieties over unramified $Z_{p}$ -extensions of function fields change under isogeny. These are analogue…

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.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

Finiteness and cofiniteness of fine Selmer groups over function fields

Sohan Ghosh, Jishnu Ray, Takashi Suzuki

We prove that the dual fine Selmer group of an abelian variety over the unramified $Z_{p}$ -extension of a function field is finitely generated over $Z_{p}$ . This…

On μ-invariants and isogenies for abelian varieties over function fields

Duality invariance of Faltings heights, Hodge line bundles and global periods

Constructible tori over Dedekind schemes

Finiteness and cofiniteness of fine Selmer groups over function fields

On $μ$ -invariants and isogenies for abelian varieties over function fields