Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical principle
|
| gptkbp:alsoKnownAs |
Local-global principle
|
| gptkbp:appliesTo |
gptkb:Diophantine_equations
gptkb:Algebraic_varieties Quadratic forms |
| gptkbp:field |
gptkb:Number_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hasse Principle
|
| gptkbp:namedAfter |
gptkb:Helmut_Hasse
|
| gptkbp:relatedTo |
gptkb:Hasse–Minkowski_theorem
Global field Local field |
| gptkbp:sometimesFailsFor |
Cubic forms
Higher degree equations |
| gptkbp:state |
A rational solution exists if and only if a solution exists in every completion of the rationals
|
| gptkbp:usedIn |
gptkb:Algebraic_number_theory
Arithmetic geometry |
| gptkbp:bfsParent |
gptkb:Number_Theory
|
| gptkbp:bfsLayer |
7
|