4 citations · 4 across the 6 of their papers we have counts for
6 papers
On Euler systems and Nekovář-Selmer complexes
Dominik Bullach, David Burns
We develop a theory of Euler and Kolyvagin systems relative to the Nekovář--Selmer complexes of -adic representations over local complete Gorenstein rings. This theory is both f…
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…
Dirichlet -series at and the scarcity of Euler systems
Dominik Bullach, David Burns, Alexandre Daoud +1
We study Euler systems for over a number field . Motivated by a distribution-theoretic idea of Coleman, we formulate a conjecture regarding the existence of such…
On -adic families of special elements for rank-one motives
Dominik Bullach, David Burns, Takamichi Sano
We conjecture that special elements associated with rank-one motives are obtained -adically from Rubin-Stark elements by means of a precise `higher-rank Soulé twist' constructio…
The equivariant Tamagawa Number Conjecture for abelian extensions of imaginary quadratic fields
Dominik Bullach, Martin Hofer
We prove the Iwasawa-theoretic version of a Conjecture of Mazur--Rubin and Sano in the case of elliptic units. This allows us to derive the -part of the equivariant Tamagawa num…
On Universal Norms for -adic Representations in Higher Rank Iwasawa Theory
Dominik Bullach, Alexandre Daoud
We begin a systematic investigation of universal norms for -adic representations in higher rank Iwasawa theory. After establishing the basic properties of the module of higher r…