Canonical height functions for affine plane automorphisms
نویسندگان
چکیده
منابع مشابه
Canonical Height Functions on the Affine Plane Associated with Polynomial Automorphisms
Let f : A → A be a polynomial automorphism of dynamical degree δ ≥ 2 over a number field K. (This is equivalent to say that f is a polynomial automorphism that is not triangularizable.) Then we construct canonical height functions defined on A(K) associated with f . These functions satisfy the Northcott finiteness property, and an Kvalued point on A(K) is f -periodic if and only if its height i...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2006
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-006-0750-y