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Title: El principi local-global per a formes quadràtiques racionals
Author: Parés Pàramo, Elena
Director/Tutor: Vera Piquero, Carlos de
Keywords: Formes quadràtiques
Treballs de fi de grau
Anàlisi diofàntica
Punts racionals (Geometria)
Quadratic forms
Bachelor's theses
Diophantine analysis
Rational points (Geometry
Issue Date: 20-Jun-2019
Abstract: [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.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Carlos de Vera Piquero
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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