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math.NT2014
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 .
math.NT2014★ 7 cited
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…
math.NT2014★ 1 cited
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…