Mordell Exceptional Locus for Subvarieties of the Additive Group
نویسندگان
چکیده
We define the Mordell exceptional locus Z(V ) for affine varieties V ⊂ Ga with respect to the action of a product of Drinfeld modules on the coordinates of Ga. We show that Z(V ) is a closed subset of V . We also show that there are finitely many maximal algebraic φmodules whose translates lie in V . Our results are motivated by DenisMordell-Lang conjecture for Drinfeld modules.
منابع مشابه
Subvarieties of Semiabelian Varieties
Let X A be a reduced, irreducible, closed subvariety of a semiabelian variety A over an algebraically closed eld k. We would like to study the structure of such an X. Our point of departure is arithmetic: motivated by Lang's conjectures 15, 17, 16], as manifested by the theorems of Faltings 6, 7] and Vojta 27], we study the Mordell exceptional locus: that is, the union of translated positive di...
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