W. Bley

activity

20072022

most citedEquivariant epsilon constant conjectures for weakly ramified extensions

11 citations · 19 across the 10 of their papers we have counts for

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12 papers · 1 filter

math.NT2022

Geometric Main Conjectures in Function Fields

Werner Bley, Cristian D. Popescu

We prove an Equivariant Main Conjecture in Iwasawa Theory along any rank one, sign-normalized Drinfeld modular, split at infinity Iwasawa tower of a general function field of chara…

math.NT2022

Computation of lattice isomorphisms and the integral matrix similarity problem

Werner Bley, Tommy Hofmann, Henri Johnston

Let $K$ be a number field, let $A$ be a finite-dimensional $K$ -algebra, let $J (A)$ denote the Jacobson radical of $A$ , and let $Λ$ be an $O_{K}$ -order in $A$ . Su…

math.NT2020

The epsilon constant conjecture for higher dimensional unramified twists of $Z_{p}^{r} (1)$

Werner Bley, Alessandro Cobbe

Let $N / K$ be a finite Galois extension of $p$ -adic number fields and let $ρ^{nr} : G_{K} \to Gl_{r} (Z_{p})$ be an $r$ -dimensional unramified representation of the…

math.NT2019★ 1 cited

Congruences for critical values of higher derivatives of twisted Hasse-Weil L-functions, III

Werner Bley, Daniel Macias Castillo

Let $A$ be an abelian variety defined over a number field $k$ , let $p$ be an odd prime number and let $F / k$ be a cyclic extension of $p$ -power degree. Under not-too-stringent hypot…

math.NT2018

Construction of elliptic $p$ -units

Werner Bley, Martin Hofer

Let $L / k$ be a finite abelian extension of an imaginary quadratic number field $k$ . Let $p$ denote a prime ideal of $O_{k}$ lying over the rational prime $p$ . We…

math.NT2018★ 2 cited

On refined metric and hermitian structures in arithmetic, I: Galois-Gauss sums and weak ramification

Werner Bley, David Burns, Carl Hahn

We use techniques of relative algebraic K-theory to develop a common refinement of the existing theories of metrized and hermitian Galois structures in arithmetic. As a first appli…