An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials

DOI10.1016/j.jnt.2022.04.010OpenAlexW4280492400WikidataQ113870298 ScholiaQ113870298MaRDI QIDQ2167513

Si Duc Quang

Publication date: 25 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2022.04.010

zbMATH Keywords

function fieldDiophantine approximationhomogeneous polynomialChow weighteffective subspace theorem

Mathematics Subject Classification ID

Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Approximation in non-Archimedean valuations (11J61) Schmidt Subspace Theorem and applications (11J87)

Related Items (1)

Value distribution theory on angular domains for holomorphic mappings and arbitrary families of moving hypersurfaces

Cites Work

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• An effective Schmidt's subspace theorem for hypersurfaces in subgeneral position in projective varieties over function fields
• Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better
• Diophantine approximations and value distribution theory
• An effective Schmidt's subspace theorem over function fields
• Meromorphic mappings into projective varieties with arbitrary families of moving hypersurfaces
• Holomorphic curves into algebraic varieties
• An Effective Schmidt’s Subspace Theorem for Projective Varieties Over Function Fields
• Degeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces

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