Ki-Seng Tan

activity

20062026

most citedThe Iwasawa Main conjecture of constant ordinary abelian varieties over function fields

7 citations · 22 across the 20 of their papers we have counts for

collaborators

20 papers

math.NT2026

Specialisations of the Burungale-Castella-Skinner main conjecture to $Z_{p}$ -lines

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

Let $p > 3$ be a prime, $E / Q$ be an elliptic curve and $K$ an imaginary quadratic field satisfying the hypotheses of Burungale-Castella-Skinner, and let $L / K$ 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 $A$ 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.NT2026

$p$ -adic $L$ -functions for elliptic curves over global function fields

Ki-Seng Tan

We introduce a $p$ -adic $L$ -function $L_{A / L}$ associated to each ordinary elliptic curve $A$ over a global function field $K$ of characteristic $p$ together with a $\math…

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 $ψ$ of the absolute Galois group of $K$ ,…

math.NT2023

The Frobenius twists of elliptic curves over global function fields

Ki-Seng Tan

For an elliptic curve A defined over a global function field K of characteristic p>0, the p-Selmer group of the Frobenius twist of A tends to have larger order than that of A. The…

math.NT2023

The $μ$ -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 $μ$ -invariants, with respect to a finite Galois p-extension $K^{'} / K$ , of an ordinary abelian…

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

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

p-adic L-functions for 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 Frobenius twists of elliptic curves over global function fields

The μ-invariant change for abelian varieties over finite p-extensions of global fields

Specialisations of the Burungale-Castella-Skinner main conjecture to $Z_{p}$ -lines

$p$ -adic $L$ -functions for 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 $μ$ -invariant change for abelian varieties over finite $p$ -extensions of global fields