21 citations · 52 across the 20 of their papers we have counts for
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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…
On the theory of higher rank Euler, Kolyvagin and Stark systems, IV: the multiplicative group
David Burns, Ryotaro Sakamoto, Takamichi Sano
We describe a refinement of the general theory of higher rank Euler, Kolyvagin and Stark systems in the setting of the multiplicative group over arbitrary number fields. We use the…
On the theory of higher rank Euler, Kolyvagin and Stark systems, III: applications
David Burns, Ryotaro Sakamoto, Takamichi Sano
In an earlier article we proved the existence of a canonical Kolyvagin derivative homomorphism between the modules of Euler and Kolyvagin systems (in any given rank) that are assoc…