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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 ,…
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 .
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…
On the Iwasawa Main conjecture of 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 abelian varieties in the two following cases: constant ordinary abelian varieties over -extensions of functi…