Local-global principle for quadratic forms This work will be focused on the problems of representation and equivalence for quadratic forms. We will prove the fundamental Hasse-Minkowski theorem, which describes the rational representation and equivalence using properties of the form over the completions of Q: the real and p-adic numbers. We will refer to this procedure as local-global principle. Furthermore, we shall describe the methods for computing the p-adic invariants, and show their relation to the representation problem. Finally, we show how the local-global partially extends to integral forms, in particular to indefinite ones of dimension at least 4. 1
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:435889 |
| Date | January 2020 |
| Creators | Surý, Pavel |
| Contributors | Kala, Vítězslav, Vávra, Tomáš |
| Source Sets | Czech ETDs |
| Language | Czech |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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