The Iwasawa Main conjecture of constant ordinary abelian varieties over function fields

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

arxiv: 1406.6125 · v1 · pith:JASOSAKLnew · submitted 2014-06-24 · 🧮 math.NT

The Iwasawa Main conjecture of constant ordinary abelian varieties over function fields

King Fai Lai , Ignazio Longhi , Ki-Seng Tan , Fabien Trihan This is my paper

classification 🧮 math.NT

keywords abelianconjectureconstantfieldsfunctioniwasawamainordinary

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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 places.

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The Iwasawa Main conjecture of constant ordinary abelian varieties over function fields

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