59 citations · 172 across the 38 of their papers we have counts for
15 papers · 1 filter
Class field theory, Hasse principles and Picard-Brauer duality for two-dimensional local rings
Takashi Suzuki
We draw concrete consequences from our arithmetic duality for two-dimensional local rings with perfect residue field. These consequences include class field theory, Hasse principle…
Finite generation of nilpotent quotients of fundamental groups of punctured spectra
Takashi Suzuki
In SGA 2, Grothendieck conjectures that the étale fundamental group of the punctured spectrum of a complete noetherian local domain of dimension at least two with algebraically clo…
Arithmetic duality for two-dimensional local rings with perfect residue field
Takashi Suzuki
We give a refinement of Saito's arithmetic duality for two-dimensional local rings by giving algebraic group structures for arithmetic cohomology groups.
Special values of L-functions of one-motives over function fields
Thomas H. Geisser, Takashi Suzuki
The purpose of this paper is to give a formula for the leading coefficient at of the -function of one-motives over function fields in terms of Weil-étale cohomology, gener…
The relatively perfect Greenberg transform and cycle class maps
Alessandra Bertapelle, Takashi Suzuki
Given a scheme over a complete discrete valuation ring of mixed characteristic with perfect residue field, the Greenberg transform produces a new scheme over the residue field thic…
On the -invariants of abelian varieties over function fields of positive characteristic
King-Fai Lai, Ignazio Longhi, Takashi Suzuki +2
Let be an abelian variety over a global function field of characteristic . We study the -invariant appearing in the Iwasawa theory of over the unramified $\mathbb…