Finiteness Properties of Pseudo-Hyperbolic Varieties

DOI10.1093/imrn/rnaa168zbMath1504.14045arXiv1909.12187OpenAlexW3045196617MaRDI QIDQ5028212

Ariyan Javanpeykar, Junyi Xie

Publication date: 8 February 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.12187

zbMATH Keywords

Lang-Vojta's conjecturedominant rational self-mapspseudo-hyperbolic varieties

Mathematics Subject Classification ID

Rational points (14G05) Rational and birational maps (14E05) Varieties over global fields (11G35) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (6)

Urata's theorem in the logarithmic case and applications to integral points ⋮ Complex-analytic intermediate hyperbolicity, and finiteness properties ⋮ Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields ⋮ Boundedness in families with applications to arithmetic hyperbolicity ⋮ Algebraic intermediate hyperbolicities ⋮ Nonspecial varieties and generalised Lang–Vojta conjectures

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