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A homogeneous degree-two function associated, away from characteristic two subtleties, with a symmetric bilinear form.
wp-quadratic-formnlab-quadratic-formmilne-algebraic-number-theoryEach relation below ends at this concept.
No direct relations are authored in this direction.
Each relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The Hasse–Minkowski theorem establishes a local–global principle for quadratic forms over number fields.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
milne-algebraic-number-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
For a nondegenerate quadratic form of dimension at least three over a field of characteristic not two, the equation defines a smooth projective quadric.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
poonen-rational-points-varietiesmilne-algebraic-number-theory