4 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…
On the existence of Minkowski units
David Burns, Donghyeok Lim, Christian Maire
We investigate the Galois structure of algebraic units in cyclic extensions of number fields and thereby obtain strong new results on the existence of independent Minkowski -uni…
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…
On descent theory and main conjectures in non-commutative Iwasawa theory
D. Burns, O. Venjakob
We prove a `Weierstrass Preparation Theorem' and develop an explicit descent formalism in the context of Whitehead groups of non-commutative Iwasawa algebras. We use these results…