Takashi Suzuki

activity

20182025

most citedThe conjectures of Artin-Tate and Birch-Swinnerton-Dyer

3 citations · 4 across the 6 of their papers we have counts for

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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…

math.NT2024

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…

math.NT2024

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.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…

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

Finiteness and cofiniteness of fine Selmer groups over function fields

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

Duality theories for p-primary etale cohomology III

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