activity
20072026
most citedOn the Selmer groups of abelian varieties over function fields of characteristic p>0

25 citations · 46 across the 13 of their papers we have counts for

collaborators

14 papers

math.NT2026

Specialisations of the Burungale-Castella-Skinner main conjecture to -lines

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

Let be a prime, be an elliptic curve and an imaginary quadratic field satisfying the hypotheses of Burungale-Castella-Skinner, and let be the unique $…

math.NT2026

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

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

Let be an ordinary elliptic curve over a global function field of characteristic , assumed semistable at every place, and let be a -extension ramif…

math.NT2024

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

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

Given an abelian variety over a global function field of characteristic and an irreducible complex continuous representation of the absolute Galois group of ,…

math.NT2023

The -invariant change for abelian varieties over finite -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 -invariants, with respect to a finite Galois p-extension , of an ordinary abelian…

math.NT2019★ 6 cited

On the -invariants of abelian varieties over function fields of positive characteristic

King-Fai Lai, Ignazio Longhi, Takashi Suzuki +2

Let be an abelian variety over a global function field of characteristic . We study the -invariant appearing in the Iwasawa theory of over the unramified $\mathbb…

math.NT2019

Tamagawa number formula with coefficients over varieties in positive characteristic

Olivier Brinon, Fabien Trihan

We express the order of the pole and the leading coefficient of the L-function of a (large class of) -adic coefficients (any prime) over a quasi-projective variety over a finite fi…