Resumen de Cycles of Polynomial Mappings in Several Variables over Rings of Integers in Finite Extensions of the Rationals, II

T. Pezda

• We prove (Theorem 1.1) an asymptotic for maximal cycle lengths of polynomial mappings in several variables over rings of integers in algebraic number fields. In addition (Proposition 3.1), we strengthen the shape of possible lengths of polynomial cycles over discrete valuation domains.