11 citations · 17 across the 7 of their papers we have counts for
10 papers
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 functional equations of Euler systems
David Burns, Takamichi Sano
We establish precise relations between Euler systems that are respectively associated to a -adic representation and to its Kummer dual . Upon appropriate specializat…
On derivatives of Kato's Euler system for elliptic curves
David Burns, Masato Kurihara, Takamichi Sano
In this paper we study a new conjecture concerning Kato's Euler system of zeta elements for elliptic curves over . This conjecture, which we refer to as the `Genera…
On Euler systems for the multiplicative group over general number fields
David Burns, Alexandre Daoud, Takamichi Sano +1
We formulate, and provide strong evidence for, a natural generalization of a conjecture of Robert Coleman concerning Euler systems for the multiplicative group over arbitrary numbe…