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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…
Annihilating class groups in -elementary extensions
Dominik Bullach, Daniel Macias Castillo
We derive new cases of conjectures of Rubin and of Burns--Kurihara--Sano concerning derivatives of Dirichlet -series at in -elementary extensions of number fields for…
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…
Congruences for critical values of higher derivatives of twisted Hasse-Weil L-functions
Werner Bley, Daniel Macias Castillo
Let A be an abelian variety over a number field k and F a finite cyclic extension of k of p-power degree for an odd prime p. Under certain technical hypotheses, we obtain a reinter…