The Mordell-Lang Theorem for Drinfeld modules

Details The Mordell-Lang Theorem for Drinfeld modules The Mordell-Lang Theorem for Drinfeld modules

2004-10-26

arxiv.org/abs/math/0410563v1

Mathematics

Number Theory

20 pages

Scientific paper

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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