4 citations · 8 across the 6 of their papers we have counts for
6 papers
On Non-Noetherian Iwasawa Theory
David Burns, Alexandre Daoud, Dingli Liang
We prove a general structure theorem for finitely presented torsion modules over a class of commutative rings that need not be Noetherian. As a first application, we then use this…
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 a conjecture of Coleman concerning Euler systems
David Burns, Alexandre Daoud, Soogil Seo
We prove a distribution-theoretic conjecture of Robert Coleman, thereby also obtaining an explicit description of the complete set of Euler systems for the multiplicative group ove…
On the structure of the module of Euler systems for a -adic representation
Alexandre Daoud
We investigate a question of Burns and Sano concerning the structure of the module of Euler systems for a general -adic representation. Assuming the weak Leopoldt conjecture, an…
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…
On Euler systems for the multiplicative group over general number fields
David Burns, Alexandre Daoud, Takamichi Sano +1
We formulate, and provide strong evidence for, a natural generalization of a conjecture of Robert Coleman concerning Euler systems for the multiplicative group over arbitrary numbe…