3 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
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…
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 -extension of a function field is finitely generated over . This…
On -invariants and isogenies for abelian varieties over function fields
Sohan Ghosh, Jishnu Ray, Takashi Suzuki
We give several formulas for how Iwasawa -invariants of abelian varieties over unramified -extensions of function fields change under isogeny. These are analogue…
The conjectures of Artin-Tate and Birch-Swinnerton-Dyer
S. Lichtenbaum, N. Ramachandran, T. Suzuki
We provide two proofs that the conjecture of Artin-Tate for a fibered surface is equivalent to the conjecture of Birch-Swinnerton-Dyer for the Jacobian of the generic fibre. As a b…
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…