Hasse-Minkowski is stated as a theorem about quadratic forms. I know it implies an existence criteria for rational solutions to quadratic forms. I assume via homogenization this would mean it also implies a criteria for rational solutions to any general quadratic equation, but I'm having a hard time finding a reference that explicitly says this. Am I missing something, or just overthinking this?
2026-04-02 02:01:31.1775095291
Hasse-Minkowski and Rational Solutions to General Quadratic Polynomials
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