Integral points and relative sizes of coordinates of orbits in \(\mathbb P^N\)

DOI10.1007/s00209-015-1406-yzbMath1320.37046arXiv1501.03567OpenAlexW2083567055MaRDI QIDQ2339684

Yu Yasufuku

Publication date: 2 April 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03567

zbMATH Keywords

orbitsintegral pointsVojta's conjecturehigher-dimensional dynamics

Mathematics Subject Classification ID

Topological dynamics (37B99) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Arithmetic dynamics on general algebraic varieties (37P55) Dynamical systems over global ground fields (37P15)

Related Items (1)

Diophantine approximations. Abstracts from the workshop held April 17--23, 2022

Cites Work

• The Mordell-Lang question for endomorphisms of semiabelian varieties
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• Primitive divisors, dynamical Zsigmondy sets, and Vojta's conjecture
• Finiteness theorems for abelian varieties over number fields.
• Diophantine approximations and value distribution theory
• Integer points, diophantine approximation, and iteration of rational maps
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• Integral points on subvarieties of semiabelian varieties. I
• Towards a Dynamical Manin-Mumford Conjecture
• Exponential-Polynomial Equations and Dynamical Return Sets
• A gap principle for dynamics
• On the abc conjecture and diophantine approximation by rational points
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