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Spinor norm for local skew-Hermitian forms. (English) Zbl 1152.11325

Baeza, Ricardo (ed.) et al., Algebraic and arithmetic theory of quadratic forms. Proceedings of the international conference, Universidad de Talca, Talca and Pucón, Chile, December 11–18, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3441-X/pbk). Contemporary Mathematics 344, 19-29 (2004).
Summary: The author computes the image of the spinor norm map for quaternionic skew-hermitian forms at dyadic local places. Non-dyadic local places have already been studied by S. Böge [Arch. Math. 21, 172–184 (1970; Zbl 0362.10020)].
For the entire collection see [Zbl 1052.11001].

MSC:

11E39 Bilinear and Hermitian forms
11E41 Class numbers of quadratic and Hermitian forms

Citations:

Zbl 0362.10020