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arxiv: 1902.04011 · v1 · pith:SOZXJE26new · submitted 2019-02-11 · 🧮 math.NT

Abelian Varieties and Finitely Generated Galois Groups

classification 🧮 math.NT
keywords abelianfinitelygaloisgeneratedalwaysattackbeencharacteristic
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This paper surveys the methods that have been used to attack the conjecture, still open, that an abelian variety over a characteristic $0$ field with finitely generated Galois group is always of infinite rank.

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