Integral points of \(\mathbb{P}^ n-\{2n+1\) hyperplanes in general position\(\}\)

DOI10.1007/BF01243910zbMath0758.14007MaRDI QIDQ1191364

Min Ru, Pit-Mann Wong

Publication date: 27 September 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143939

zbMATH Keywords

diophantine approximationfiniteness results on integral pointsNockka weights

Mathematics Subject Classification ID

Rational points (14G05) Diophantine approximation, transcendental number theory (11J99)

Related Items (20)

Schmidt’s subspace theorem for non-subdegenerate families of hyperplanes ⋮ A defect relation for holomorphic curves intersecting general divisors in projective varieties ⋮ A construction of hyperbolic hypersurface of \(P^ n(C)\) ⋮ Integral points of projective spaces omitting hyperplanes over function fields of positive characteristic ⋮ Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties ⋮ On the Nochka-Chen-Ru-Wong proof of Cartan's conjecture ⋮ Second main theorem for meromorphic mappings intersecting moving targets on parabolic manifolds ⋮ The degenerated second main theorem and Schmidt's subspace theorem ⋮ A generalization of the subspace theorem for higher degree polynomials in subgeneral position ⋮ Diophantine approximation with algebraic points of bounded degree. ⋮ 𝑆-integral points of ℙⁿ-{2𝕟+1 hyperplanes in general position over number fields and function fields} ⋮ On a General Form of the Second Main Theorem ⋮ On a general Diophantine inequality ⋮ AN EXTENSION OF THE CARTAN–NOCHKA SECOND MAIN THEOREM FOR HYPERSURFACES ⋮ Decomposable form equations without the finiteness property ⋮ Picardindex und ganzalgebraische Punkte. (Picard index and integral points) ⋮ A note on Schmidt's subspace type theorem with moving hyperplanes ⋮ A note on Schmidt’s subspace theorem ⋮ A uniqueness theorem for rational points in projective space ⋮ Weight lemma.

Cites Work

• Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better
• Finiteness theorems for abelian varieties over number fields.
• Diophantine approximations and value distribution theory
• Mordell's conjecture over function fields
• Diophantine approximation
• Siegel's theorem in the compact case
• Simultaneous approximation to algebraic numbers by elements of a number field
• The \(\mathfrak p\)-adic Thue-Siegel-Roth-Schmidt theorem
• Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexer Veränderlicher. I. II
• On the Second Main Theorem of Nevanlinna Theory
• Hyperbolic and Diophantine analysis
• A Refinement of Schmidt's Subspace Theorem
• Holomorphic Maps into Complex Projective Space Omitting Hyperplanes
• Rational approximations to algebraic numbers
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