Gautier Ponsinet

activity

20162025

most citedUniversal norms and the Fargues-Fontaine curve

2 citations · 3 across the 7 of their papers we have counts for

collaborators

8 papers

math.NT2025

On a characterisation of perfectoid fields by Iwasawa theory

Gautier Ponsinet

We prove that the vanishing of the module of universal norms associated with a de Rham Galois representation whose Hodge-Tate weights are not all non-positive characterises the alg…

math.NT2024

Bloch-Kato groups over perfectoid fields and Galois theory of $p$ -adic periods

Gautier Ponsinet

We relate the structure of the Bloch-Kato groups associated with a de Rham Galois representation over a perfectoid field to the Galois theory of the ring $B_{dR}^{+}$ …

math.NT2021

On Shafarevich-Tate groups and analytic ranks in families of modular forms, II. Coleman families

Maria Rosaria Pati, Gautier Ponsinet, Stefano Vigni

This is the second article in a two-part project whose aim is to study algebraic and analytic ranks in $p$ -adic families of modular forms. Let $f$ be a newform of weight $2$ , squar…

math.NT2020★ 2 cited

Universal norms and the Fargues-Fontaine curve

Gautier Ponsinet

We study the module of universal norms associated with a de Rham $p$ -adic Galois representation in a perfectoid field extension. In particular, we compute precisely this module whe…

math.NT2019

On the Iwasawa invariants of Kato's zeta elements for modular forms

Chan-Ho Kim, Jaehoon Lee, Gautier Ponsinet

We study the behavior of the Iwasawa invariants of the Iwasawa modules which appear in Kato's main conjecture without $p$ -adic $L$ -functions under congruences. It generalizes the w…

math.NT2018

On the structure of signed Selmer groups

Gautier Ponsinet

Let $F$ be a number field unramified at an odd prime $p$ and $F_{\infty}$ be the $Z_{p}$ -cyclotomic extension of $F$ . Generalizing Kobayashi plus/minus Selmer groups for ellip…

math.NT2018★ 1 cited

On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions

Antonio Lei, Gautier Ponsinet

Let $F$ be a number field unramified at an odd prime $p$ and $F_{\infty}$ be the $Z_{p}$ -cyclotomic extension of $F$ . Let $A$ be an abelian variety defined over $F$ with good…

math.NT2016

Functional equations for multi-signed Selmer groups

Antonio Lei, Gautier Ponsinet

We study the functional equation for the multi-signed Selmer groups for non-ordinary motives whose Hodge-Tate weights are $0$ and $1$ , defined by Büyükboduk and the first named aut…

On a characterisation of perfectoid fields by Iwasawa theory

Bloch-Kato groups over perfectoid fields and Galois theory of p-adic periods

On Shafarevich-Tate groups and analytic ranks in families of modular forms, II. Coleman families

Universal norms and the Fargues-Fontaine curve

On the Iwasawa invariants of Kato's zeta elements for modular forms

On the structure of signed Selmer groups

On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions

Functional equations for multi-signed Selmer groups

Bloch-Kato groups over perfectoid fields and Galois theory of $p$ -adic periods