5 citations · 6 across the 7 of their papers we have counts for
7 papers
On Weil-Stark elements, II: refined Stark conjectures
David Burns, Daniel Macias Castillo, Soogil Seo
The theory of Weil-Stark elements is used to develop an axiomatic approach to the formulation of refined versions of Stark's Conjecture. This gives concrete new results concerning…
Numerical Evidence for a refinement of Deligne's Period Conjecture for Jacobians of Curves
Robert Evans, Daniel Macias Castillo, Hanneke Wiersema
Let be a Jacobian variety and let be a totally real, tamely ramified, abelian number field. Given a character of , Deligne's Period Conjecture…
On Weil-Stark elements, I: general properties
David Burns, Daniel Macias Castillo, Soogil Seo
We construct a canonical family of elements in the reduced exterior power lattices of the unit groups of global fields. We prove that this family recovers the theory of cyclotomic…
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…
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…
On the Galois structure of Selmer groups
David Burns, Daniel Macias Castillo, Christian Wuthrich
Let A be an abelian variety defined over a number field k and F a finite Galois extension of k. Let p be a prime number. Then under certain not-too-stringent conditions on A and F…