Subspace theorem

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo Algebraic numbers
Linear forms
gptkbp:field gptkb:Number_theory
gptkb:Diophantine_approximation
gptkbp:formedBy gptkb:Wolfgang_M._Schmidt
1972
gptkbp:generalizes gptkb:Thue–Siegel–Roth_theorem
https://www.w3.org/2000/01/rdf-schema#label Subspace theorem
gptkbp:implies Finiteness of solutions to certain Diophantine equations
gptkbp:notableFor Finiteness of S-integral points on subvarieties of projective space
gptkbp:relatedTo gptkb:Schmidt's_subspace_theorem
gptkb:Roth's_theorem
gptkb:Siegel's_theorem
gptkbp:sentence Describes the structure of solutions to certain inequalities involving linear forms in several variables.
gptkbp:usedIn gptkb:Algebraic_geometry
Diophantine geometry
Transcendence theory
gptkbp:bfsParent gptkb:S-unit_equations
gptkb:Schmidt's_subspace_theorem
gptkbp:bfsLayer 8