Schmidt's subspace theorem for arbitrary families of moving hypersurface targets

DOI10.1016/J.JNT.2024.03.017MaRDI QIDQ6556223

Tingbin Cao, Si Duc Quang, Nguyen Van Thin

Publication date: 17 June 2024

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

zbMATH Keywords

Diophantine approximationSchmidt's subspace theoremmoving hypersurfaces

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Approximation to algebraic numbers (11J68)

Cites Work

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• The degenerated second main theorem and Schmidt's subspace theorem
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• Holomorphic curves into algebraic varieties intersecting divisors in subgeneral position
• Generalized weight properties of the resultant of \(n + 1\) polynomials in \(n\) indeterminates.
• On Cartan's theorem and Cartan's conjecture
• Schmidt’s Subspace Theorem with Moving Hypersurfaces
• A defect relation for holomorphic curves intersecting hypersurfaces
• Schmidt’s subspace theorem for moving hypersurfaces in subgeneral position
• On a general Thue's equation
• A generalization of the subspace theorem for higher degree polynomials in subgeneral position
• Schmidt's subspace theorem for moving hypersurface targets
• Schmidt's subspace theorem for moving hypersurface targets

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