ON THE NON COMMUTATIVE IWASAWA MAIN CONJECTURE FOR ABELIAN VARIETIES OVER FUNCTION FIELDS

被引：0

作者：

Trihan, Fabien ^{[1
]}

Vauclair, David ^{[2
]}

机构：

[1] Sophia Univ, Dept Informat Commun Sci, Chiyoda Ku, Tokyo 1020081, Japan

[2] Univ Caen Normandie, Lab Math Nicolas Oresme, BP 5186, F-14032 Caen, France

来源：

DOCUMENTA MATHEMATICA | 2019年 / 24卷

关键词：

abelian variety; Iwasawa theory; p-adic cohomology; syntomic; non-commutative; F-ISOCRYSTALS; CATEGORIES; DUALITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the Iwasawa main conjecture for semistable abelian varieties over a function field of characteristic p under certain restrictive assumptions. Namely we consider p-torsion free p-adic Lie extensions of the base field which contain the constant Z(p)-extension and are everywhere unramified. Under the usual mu = 0 hypothesis, we give a proof which mainly relies on the interpretation of the Selmer complex in terms of p-adic cohomology [TV] together with the trace formulas of [EL1].

引用

页码：473 / 522

页数：50

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