Files

150977.pdf (695.55 KB)

Document type

Bachelor thesis

Publication date

2019-06-20

Publication license

cc-by-nc-nd (c) Elena Parés Pàramo, 2019
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/150977

El principi local-global per a formes quadràtiques racionals

Journal Title

Authors

Director/Tutor

Additional contribution

Journal ISSN

Volume Title

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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Carlos de Vera Piquero

Related resource

Subject

Formes quadràtiques, Treballs de fi de grau, Anàlisi diofàntica, Punts racionals (Geometria)

Subject (English)

Quadratic forms, Bachelor's theses, Diophantine analysis, Rational points (Geometry

Citation

Collections

Treballs Finals de Grau (TFG) - Matemàtiques

Citation

PARÉS PÀRAMO, Elena. El principi local-global per a formes quadràtiques racionals. [consulted: 16 of October of 2026]. Available at: https://hdl.handle.net/2445/150977

Export metadata

JSON - METS

Share record