Gautier Ponsinet

most citedUniversal norms and the Fargues-Fontaine curve

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

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.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

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…