El principi local-global per a formes quadràtiques racionals

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Carlos de Vera Piquero[en] The Hasse-Minkowski Theorem states that every quadratic form with rational coefficients has a non-trivial solution in the rational numbers if, and only if, it has a non-trivial solution in each completion of the rationals. We study all the completions of Q and present a proof of the theorem of Hasse-Minkowski using the Hilbert symbol and the theory of quadratic forms