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math.NT2019
On non-abelian higher special elements of -adic representations
Daniel Macias Castillo, Kwok-Wing Tsoi
We develop a theory of `non-abelian higher special elements' in the non-commutative exterior powers of the Galois cohomology of -adic representations. We explore their relation…
math.NT2019★ 5 cited
On refined conjectures of Birch and Swinnerton-Dyer type for Hasse-Weil-Artin L-series
David Burns, Daniel Macias Castillo
We consider refined conjectures of Birch and Swinnerton-Dyer type for the Hasse-Weil-Artin L-series of abelian varieties over general number fields. We shall, in particular, formul…