An effective Schmidt's subspace theorem for non-linear forms over function fields

DOI10.1016/J.JNT.2006.10.015zbMath1201.14017OpenAlexW2028693244MaRDI QIDQ884531

Julie Tzu-Yueh Wang, Ta Thi Hoai An

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.10.015

zbMATH Keywords

function fieldsSchmidt's subspace theoremThue's equation

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Other nonalgebraically closed ground fields in algebraic geometry (14G27)

Related Items (2)

Urata's theorem in the logarithmic case and applications to integral points ⋮ An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields

Cites Work

• Fields of large transcendence degree generated by values of elliptic functions
• An effective Schmidt's subspace theorem over function fields
• A further improvement of the quantitative subspace theorem
• On the effective Nullstellensatz
• A defect relation for holomorphic curves intersecting hypersurfaces
• On a general Thue's equation
• The ABC theorem for higher-dimensional function fields

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