Discriminants of polynomials and of quadratic forms
β Scribed by Ricardo Baeza
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 582 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We present a set of generators of the full annihilator ideal for the Witt ring of an arbitrary field of characteristic unequal to two satisfying a nonβvanishing condition on the powers of the fundamental ideal in the torsion part of the Witt ring. This settles a conjecture of Ongenae an
Let p>13 be a prime congruent to 1 modulo 4. Let G be the genus of a quaternary even positive definite Z-lattice of discriminant 4p whose 2-adic localization has a proper 2-modular Jordan component. We show that the orthogonal group of any lattice from G is generated by &1 and the symmetries with re