Schmidt Subspace Theorem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns gptkb:Diophantine_equations
algebraic numbers
linear forms
gptkbp:field gptkb:Diophantine_approximation
number theory
gptkbp:generalizes gptkb:Thue–Siegel–Roth_theorem
gptkbp:hasApplication Diophantine approximation on subvarieties
finiteness of S-integral points
https://www.w3.org/2000/01/rdf-schema#label Schmidt Subspace Theorem
gptkbp:influenced Diophantine geometry
transcendence theory
gptkbp:namedAfter gptkb:Wolfgang_M._Schmidt
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:state Solutions to certain inequalities involving linear forms in algebraic numbers lie in finitely many proper subspaces.
gptkbp:yearProved 1972
gptkbp:bfsParent gptkb:Wolfgang_M._Schmidt
gptkbp:bfsLayer 8