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20182026
most citedOn higher special elements of -adic representations

3 citations · 3 across the 6 of their papers we have counts for

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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

On non-abelian higher special elements of -adic representations

Daniel Macias Castillo, Kwok-Wing Tsoi

We develop a theory of `non-abelian higher special elements' in the non-commutative exterior powers of the Galois cohomology of -adic representations. We explore their relation…

math.NT2018★ 3 cited

On higher special elements of -adic representations

David Burns, Takamichi Sano, Kwok-Wing Tsoi

As a natural generalization of the notion of `higher rank Euler system', we develop a theory of `higher special elements' in the exterior power biduals of the Galois cohomology of…