The Iwasawa Main Conjecture for constant ordinary abelian varieties over function fields

King Fai Lai; Ignazio Longhi; Ki Seng Tan; Fabien Trihan

doi:10.1112/plms/pdw019

The Iwasawa Main Conjecture for constant ordinary abelian varieties over function fields

King Fai Lai
, Ignazio Longhi
, Ki Seng Tan
, Fabien Trihan

School of Mathematics and Physics

Capital Normal University
National Taiwan University
Sophia University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We study a geometric analogue of the Iwasawa Main Conjecture for constant ordinary abelian varieties over ℤ^d_p -extensions of function fields ramifying at a finite set of places.

Original language	English
Pages (from-to)	1040-1058
Number of pages	19
Journal	Proceedings of the London Mathematical Society
Volume	112
Issue number	6
DOIs	https://doi.org/10.1112/plms/pdw019
Publication status	Published - 2016

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title = "The Iwasawa Main Conjecture for constant ordinary abelian varieties over function fields",

abstract = "We study a geometric analogue of the Iwasawa Main Conjecture for constant ordinary abelian varieties over ℤdp -extensions of function fields ramifying at a finite set of places.",

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AU - Lai, King Fai

AU - Longhi, Ignazio

AU - Tan, Ki Seng

AU - Trihan, Fabien

PY - 2016

Y1 - 2016

N2 - We study a geometric analogue of the Iwasawa Main Conjecture for constant ordinary abelian varieties over ℤdp -extensions of function fields ramifying at a finite set of places.

AB - We study a geometric analogue of the Iwasawa Main Conjecture for constant ordinary abelian varieties over ℤdp -extensions of function fields ramifying at a finite set of places.

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DO - 10.1112/plms/pdw019

M3 - Article

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VL - 112

SP - 1040

EP - 1058

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

IS - 6

ER -

The Iwasawa Main Conjecture for constant ordinary abelian varieties over function fields

Abstract

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