11 citations · 18 across the 11 of their papers we have counts for
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Derived Bockstein regulators and anticyclotomic -adic Birch and Swinnerton-Dyer conjectures
Takamichi Sano
We introduce "derived Bockstein regulators" by using an idea of Nekovář. We establish a general descent formalism involving derived Bockstein regulators. We give three applications…
On non-commutative Iwasawa theory and derivatives of Euler systems
David Burns, Takamichi Sano
We use the theory of reduced determinant functors from [24] to give a new, computationally useful, description of the relative -groups of orders in finite dimensional separabl…
On Euler systems for motives and Heegner points
Takenori Kataoka, Takamichi Sano
We formulate an Iwasawa main conjecture for a higher rank Euler system for a general motive. We prove "one half" of the main conjecture under mild hypotheses. We also formulate a c…
On -adic families of special elements for rank-one motives
Dominik Bullach, David Burns, Takamichi Sano
We conjecture that special elements associated with rank-one motives are obtained -adically from Rubin-Stark elements by means of a precise `higher-rank Soulé twist' constructio…
On derivatives of Kato's Euler system and the Mazur-Tate Conjecture
David Burns, Masato Kurihara, Takamichi Sano
We provide a new interpretation of the Mazur-Tate Conjecture and then use it to obtain the first (unconditional) theoretical evidence in support of the conjecture for elliptic curv…
On non-commutative Euler systems, I: preliminaries on `det' and `Fit'
David Burns, Takamichi Sano
We extend some classical constructions in commutative algebra to the setting of modules over orders in (non-commutative) semisimple algebras. Our theory incorporates, inter alia, `…