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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.AG2021★ 3 cited
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…