7 citations · 23 across the 10 of their papers we have counts for
10 papers
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…
Capitulation kernels of class groups over Z_p^d-extensions
King Fai Lai, Ki-Seng Tan
We generalize Iwasawa's theorem on class group over -extensions to all -extensions.
Linear systems over rings of measurable functions and conjugate gradient methods
King-Fai Lai
We study the conjugate gradient method for solving s system of linear equations with coefficients which are measurable functions and establish the rate of convergence of this metho…
The Iwasawa main conjecture for semistable abelian varieties over function fields
King Fai Lai, Ignazio Longhi, Ki-Seng Tan +1
We prove the Iwasawa main conjecture over the arithmetic -extension for semistable abelian varieties over function fields of characteristic .
The Iwasawa Main conjecture of constant ordinary abelian varieties over function fields
King Fai Lai, Ignazio Longhi, Ki-Seng Tan +1
We study a geometric analogue of the Iwasawa Main Conjecture for constant ordinary abelian varieties over $\ZZ_p^d$-extensions of function fields ramifying at a finite set of place…
Pontryagin duality for Iwasawa modules and abelian varieties
King Fai Lai, Ignazio Longhi, Ki-Seng Tan +1
We prove a functional equation for two projective systems of finite abelian -groups, $\{\fa_n\}$ and $\{\fb_n\}$, endowed with an action of $\ZZ_p^d$ such that $\fa_n$ can be id…