C'edric Dion

activity

20172024

most citedOn the distribution of Iwasawa invariants associated to multigraphs

6 citations · 6 across the 6 of their papers we have counts for

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math.NT2024

Refined conjectures on Fitting ideals of Selmer groups over $Z_{p}^{2}$ -extensions

Cédric Dion

Let $p > 3$ be a prime number and $K$ be an imaginary quadratic field where $p$ splits. Let $K_{\infty}$ be the $Z_{p}^{2}$ -extension of $K$ and let $K_{n}$ be a finite subextension…

math.NT2022

Functional equations for supersingular abelian varieties over $Z_{p}^{2}$ -extensions

Cédric Dion

Let $K$ be an imaginary quadratic field and $K_{\infty}$ be the $Z_{p}^{2}$ -extension of $K$ . Answering a question of Ahmed and Lim, we show that the Pontryagin dual of the Selm…

math.NT2022

Topological Iwasawa invariants and Arithmetic Statistics

Cedric Dion, Anwesh Ray

Given a prime number $p$ , we study topological analogues of Iwasawa invariants associated to $Z_{p}$ -covers of the $3$ -sphere that are branched along a link. We prove explic…

math.NT2021

On the Mordell-Weil Ranks of supersingular abelian varieties over $Z_{p}^{2}$ -extensions

Cédric Dion, Jishnu Ray

Let $p$ be a fixed odd prime and let $K$ be an imaginary quadratic field in which $p$ splits. Let $A$ be an abelian variety defined over $K$ with supersingular reduction at both pr…

math.NT2019

Consequences of functional equations for pairs of p-adic L-functions

Cédric Dion, Florian Ito Sprung

We prove consequences of functional equations of p-adic L-functions for elliptic curves at supersingular primes p. The results include a relationship between the leading and sub-le…

math.NT2017

Plus and minus logarithms and Amice transform

Cedric Dion, Antonio Lei

We give a new description of Pollack's plus and minus $p$ -adic logarithms $lo g_{p}^{\pm}$ in terms of distributions. In particular, if $μ_{\pm}$ denote the pre-images of $lo g_{p}^{\pm}$ un…