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math.NT2018★ 3 cited
On higher special elements of -adic representations
David Burns, Takamichi Sano, Kwok-Wing Tsoi
As a natural generalization of the notion of `higher rank Euler system', we develop a theory of `higher special elements' in the exterior power biduals of the Galois cohomology of…
math.NT2018★ 21 cited
On the theory of higher rank Euler, Kolyvagin and Stark systems, II
David Burns, Ryotaro Sakamoto, Takamichi Sano
We prove the existence of a canonical `higher Kolyvagin derivative' homomorphism between the modules of higher rank Euler systems and higher rank Kolyvagin systems, as has been con…