The dynamical Mordell-Lang conjecture in positive characteristic
نویسندگان
چکیده
منابع مشابه
The Dynamical Mordell-lang Conjecture in Positive Characteristic
Let K be an algebraically closed field of prime characteristic p, let N ∈ N, let Φ : Gm −→ Gm be a self-map defined over K, let V ⊂ Gm be a curve defined over K, and let α ∈ Gm(K). We show that the set S = {n ∈ N : Φn(α) ∈ V } is a union of finitely many arithmetic progressions, along with a finite set and finitely many p-arithmetic sequences, which are sets of the form {a+ bpkn : n ∈ N} for so...
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Let K be an algebraically closed field of prime characteristic p, let X be a semiabelian variety defined over a finite subfield of K, let Φ : X −→ X be a regular self-map defined over K, let V ⊂ X be a subvariety defined over K, and let α ∈ X(K). The Dynamical Mordell-Lang Conjecture in characteristic p predicts that the set S = {n ∈ N : Φ(α) ∈ V } is a union of finitely many arithmetic progres...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2018
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7261