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Composition of quadratic forms over number fields
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zemková, Kristýna |
| Copyright Year | 2018 |
| Abstract | The thesis is concerned with the theory of binary quadratic forms with coefficients in the ring of algebraic integers of a number field. Under the assumption that the number field is of narrow class number one, there is developed a theory of composition of such quadratic forms. For a given discriminant, the composition is determined by a bijection between classes of quadratic forms and a so-called relative oriented class group (a group closely related to the class group). Furthermore, Bhargava cubes are generalized to cubes with entries from the ring of algebraic integers; by using the composition of quadratic forms, the composition of Bhargava cubes is proved in the generalized case. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://dspace.cuni.cz/bitstream/handle/20.500.11956/99290/120296871.pdf?isAllowed=y&sequence=1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
