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The Mordell-Lang Theorem for Drinfeld modules

Number Theory 2007-05-23 v1 Logic

Abstract

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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Cite

@article{arxiv.math/0410563,
  title  = {The Mordell-Lang Theorem for Drinfeld modules},
  author = {Dragos Ghioca},
  journal= {arXiv preprint arXiv:math/0410563},
  year   = {2007}
}

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20 pages