Zobrazeno 1 - 10
of 448
pro vyhledávání: '"Mueller, Katharina"'
Autor:
Forrás, Ben, Müller, Katharina
Let $E/\mathbb{Q}$ be an elliptic curve and let $p\ge 5$ be a prime of good supersingular reduction. We generalize results due to Meng Fai Lim proving Kida's formula and integrality results for characteristic elements of signed Selmer groups along th
Externí odkaz:
http://arxiv.org/abs/2407.08430
Autor:
Müller, Katharina, Ray, Anwesh
Via a novel application of Iwasawa theory, we study Hilbert's tenth problem for number fields occurring in $\mathbb{Z}_p$-towers of imaginary quadratic fields $K$. For a odd prime $p$, the lines $(a,b) \in \mathbb{P}^1(\mathbb{Z}_p)$ are identified w
Externí odkaz:
http://arxiv.org/abs/2406.01443
Autor:
Lei, Antonio, Müller, Katharina
Let $p,q,l$ be three distinct prime numbers and let $N$ be a positive integer coprime to $pql$. For an integer $n\ge 0$, we define the directed graph $X_l^q(p^nN)$ whose vertices are given by isomorphism classes of elliptic curves over a finite field
Externí odkaz:
http://arxiv.org/abs/2309.00524
Autor:
Kleine, Sören, Müller, Katharina
Let $p$ be a rational prime, and let $X$ be a connected finite graph. In this article we study voltage covers $X_\infty$ of $X$ attached to a voltage assignment ${\alpha}$ which takes values in some uniform $p$-adic Lie group $G$. We formulate and pr
Externí odkaz:
http://arxiv.org/abs/2307.15395
Autor:
Lei, Antonio, Müller, Katharina
Let $p$ and $q$ be distinct prime numbers, with $q\equiv 1\pmod{12}$. Let $N$ be a positive integer that is coprime to $pq$. We prove a formula relating the Hasse--Weil zeta function of the modular curve $X_0(qN)_{\mathbb{F}_q}$ to the Ihara zeta fun
Externí odkaz:
http://arxiv.org/abs/2307.01001
Autor:
Lei, Antonio, Müller, Katharina
Let $l$ and $p$ be two distinct prime numbers. We study $l$-isogeny graphs of ordinary elliptic curves defined over a finite field of characteristic $p$, together with a level structure. Firstly, we show that as the level varies over all $p$-powers,
Externí odkaz:
http://arxiv.org/abs/2306.10981
Autor:
Rodrigues, Bruno, Scheid, Eder J., Müller, Katharina O. E., Willems, Julius, Stiller, Burkhard
Hospital infrastructures are always in evidence in periods of crisis, such as natural disasters or pandemic events, under stress. The recent COVID-19 pandemic exposed several inefficiencies in hospital systems over a relatively long period. Among the
Externí odkaz:
http://arxiv.org/abs/2303.01151
Let $p$ be an odd prime. Let $f_1$ and $f_2$ be weight-two Hecke eigen-cuspforms with isomorphic residual Galois representations at $p$. Greenberg--Vatsal and Emerton--Pollack--Weston showed that if $p$ is a good ordinary prime for the two forms, the
Externí odkaz:
http://arxiv.org/abs/2302.06553
Autor:
Kleine, Sören, Müller, Katharina
We investigate the growth of the $p$-part of the Jacobians in voltage covers of finite connected multigraphs, where the voltage group is isomorphic to $\mathbb{Z}_p^l$ for some ${l \ge 2}$, and we study analogues of a conjecture of Greenberg on the g
Externí odkaz:
http://arxiv.org/abs/2211.09763
Autor:
Kleine, Sören, Müller, Katharina
We compare the Iwasawa invariants of fine Selmer groups of $p$-adic Galois representations over admissible $p$-adic Lie extensions of a number field $K$ to the Iwasawa invariants of ideal class groups along these Lie extensions. More precisely, let $
Externí odkaz:
http://arxiv.org/abs/2205.06615