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arxiv: math/0410563 · v1 · submitted 2004-10-26 · 🧮 math.NT · math.LO

The Mordell-Lang Theorem for Drinfeld modules

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keywords drinfeldmodulesmordell-langtheoremablecharacteristicprovearguments
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We study the quasi-endomorphism ring of infinitely definable subgroups in separably closed fields. Based on the results we obtain, we are able to prove a Mordell-Lang theorem for Drinfeld modules of finite characteristic. Using specialization arguments we are able to prove also a Mordell-Lang theorem for Drinfeld modules of generic characteristic.

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