Schmidt’s subspace theorem for non-subdegenerate families of hyperplanes

DOI10.1142/S1793042122500312zbMath1489.11105OpenAlexW3197254970MaRDI QIDQ5069078

Duc Hiep Pham

Publication date: 8 April 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042122500312

zbMATH Keywords

Diophantine approximationlinear formsSchmidt's subspace theoremexceptional setsBrody hyperbolicity

Mathematics Subject Classification ID

Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Simultaneous homogeneous approximation, linear forms (11J13) Schmidt Subspace Theorem and applications (11J87)

Cites Work

• On the Schmidt subspace theorem for algebraic points
• Integer solutions to decomposable form inequalities
• Diophantine approximations and value distribution theory
• Diophantine approximation
• Integral points of \(\mathbb{P}^ n-\{2n+1\) hyperplanes in general position\(\}\)
• Schmidt's subspace theorem with moving targets
• Norm form equations
• The number of subspaces occurring in the p-adic subspace theorem in diophantine approximation.
• On Cartan's theorem and Cartan's conjecture
• A Refinement of Schmidt's Subspace Theorem
• On products of special linear forms with algebraic coefficients
• Geometric and Arithmetic Aspects of P n Minus Hyperplanes
• A Lang Exceptional Set for Integral Points
• A generalization of the subspace theorem for higher degree polynomials in subgeneral position
• Second main theorem with truncated counting function in several complex variables for moving targets
• ON THE PROBLEM OF INTEGER SOLUTIONS TO DECOMPOSABLE FORM INEQUALITIES
• Degeneracy second main theorem for meromorphic mappings and moving hypersurfaces with truncated counting functions and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Schmidt’s subspace theorem for non-subdegenerate families of hyperplanes