Fabien Trihan

collaborators

3 papers

math.NT2026

Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields

Ki-Seng Tan, Fabien Trihan, Kwok-Wing Tsoi

Let $A$ be an ordinary elliptic curve over a global function field $K$ of characteristic $p$ , assumed semistable at every place, and let $L / K$ be a $Z_{p}^{d}$ -extension ramif…

math.NT2024

On a Birch and Swinnerton-Dyer type conjecture for the Hasse-Weil-Artin $L$ -functions in characteristic $p > 0$

Wansu Kim, Ki-Seng Tan, Fabien Trihan +1

Given an abelian variety $A$ over a global function field $K$ of characteristic $p > 0$ and an irreducible complex continuous representation $I ¨ $ of the absolute Galois group of $K$ ,…

math.NT2024

The $I^¼$ -invariant change for abelian varieties over finite $p$ -extensions of global fields

Ki-Seng Tan, Fabien Trihan, Kwok-Wing Tsoi

We extend the work of Lai, Longhi, Suzuki, the first two authors and study the change of $I^¼$ -invariants, with respect to a finite Galois p-extension $K^{'} / K$ , of an ordinary abelian…

Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields

On a Birch and Swinnerton-Dyer type conjecture for the Hasse-Weil-Artin L-functions in characteristic p>0

The I^¼-invariant change for abelian varieties over finite p-extensions of global fields

On a Birch and Swinnerton-Dyer type conjecture for the Hasse-Weil-Artin $L$ -functions in characteristic $p > 0$

The $I^¼$ -invariant change for abelian varieties over finite $p$ -extensions of global fields