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Function fields of Pfister forms

✍ Scribed by R. Elman; T. Y. Lam; A. R. Wadsworth

Publisher
Springer-Verlag
Year
1979
Tongue
English
Weight
803 KB
Volume
51
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES

Function Fields of Pfister Neighbors
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A quadratic form \(Q\) is called a special Pfister neighbor if \(Q\) is similar to a form of the shape \(P_{0} \perp a P_{1}\), where \(P_{0}\) is Pfister, \(a \in k^{*}\), and \(P_{1}\) is a nonzero subform of \(P_{0}\). The Pfister form \(P_{0} \perp a P_{0}\), which is uniquely determined by \(Q\

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Let P k denote the set of equivalence classes of nonsingular pencils of Ε½ . quadratic forms of even order defined over a field k, char k / 2. Let F k denote the set of k-isomorphism classes of hyperelliptic function fields defined over k. We Ε½ . Ε½ . define a map ⌽: P k Βͺ F k and determine precisely