The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties
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Publication:5146213
DOI10.1007/978-3-030-49864-1_3zbMath1452.14017arXiv2002.11981OpenAlexW3007658893MaRDI QIDQ5146213
Publication date: 25 January 2021
Published in: CRM Short Courses (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.11981
dynamical systemsautomorphismsmoduli spaceshyperbolicityintegral pointsalgebraic hyperbolicityGreen-Griffiths-Lang conjectureBrody hyperbolicityLang-Vojta conjectures
Rational points (14G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Varieties over global fields (11G35) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Automorphisms of surfaces and higher-dimensional varieties (14J50) Diophantine approximation, transcendental number theory (11Jxx)
Related Items (15)
Smooth hypersurfaces in abelian varieties over arithmetic rings ⋮ On the distribution of rational points on ramified covers of abelian varieties ⋮ Hyperbolicity of the moduli of certain Fano threefolds ⋮ The Hilbert property for arithmetic schemes ⋮ Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\) ⋮ Non-Archimedean entire curves in closed subvarieties of semi-abelian varieties ⋮ Urata's theorem in the logarithmic case and applications to integral points ⋮ Clustered families and applications to Lang‐type conjectures ⋮ 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 ⋮ Arithmetic hyperbolicity: automorphisms and persistence ⋮ Non-Archimedean hyperbolicity and applications ⋮ Rational points and ramified covers of products of two elliptic curves
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