On the Northcott property and other properties related to polynomial mappings
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Publication:2841494
DOI10.1017/S0305004113000042zbMath1290.11139arXiv1111.5060OpenAlexW2963327248MaRDI QIDQ2841494
Publication date: 26 July 2013
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.5060
Heights (11G50) Algebraic numbers; rings of algebraic integers (11R04) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
Related Items (11)
Heights and totally p-adic numbers ⋮ Two remarks on Narkiewicz's property (P) ⋮ On the properties of Northcott and Narkiewicz for elliptic curves ⋮ Northcott numbers for the house and the Weil height ⋮ On the Northcott property for infinite extensions ⋮ On the Northcott property for special values of \(L\)-functions ⋮ Undecidability, unit groups, and some totally imaginary infinite extensions of ℚ ⋮ Small height in fields generated by singular moduli ⋮ On the Northcott property and local degrees ⋮ A Bogomolov type property relative to a normalized height on ⋮ On the compositum of all degree \(d\) extensions of a number field
Cites Work
- On fields of algebraic numbers with bounded local degrees
- On certain infinite extensions of the rationals with Northcott property
- On the properties of Northcott and of Narkiewicz for fields of algebraic numbers
- Polynomial mappings
- Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps)
- Note on a conjecture of W. Narkiewicz
- Fields of algebraic numbers with bounded local degrees and their properties
- Finiteness Properties of Polynomial Mappings
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