Dominik Bullach

activity

20212025

collaborators

3 papers

math.NT2025

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 $p$ -adic representations over local complete Gorenstein rings. This theory is both f…

math.NT2023

Annihilating class groups in $p$ -elementary extensions

Dominik Bullach, Daniel Macias Castillo

We derive new cases of conjectures of Rubin and of Burns--Kurihara--Sano concerning derivatives of Dirichlet $L$ -series at $s = 0$ in $p$ -elementary extensions of number fields for…

math.NT2021

On $p$ -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 $p$ -adically from Rubin-Stark elements by means of a precise `higher-rank Soulé twist' constructio…

On Euler systems and Nekovář-Selmer complexes

Annihilating class groups in p-elementary extensions

On p-adic families of special elements for rank-one motives

Annihilating class groups in $p$ -elementary extensions

On $p$ -adic families of special elements for rank-one motives