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arXiv:1210.3109 [math.AG]AbstractReferencesReviewsResources

The Witt Ring of a Smooth Projective Curve over a Finite Field

Jeanne M. Funk, Raymond T. Hoobler

Published 2012-10-11Version 1

In this paper we calculate the Witt ring W(C) of a smooth geometrically connected projective curve C over a finite field of characteristic different from 2. We view W(C) as a subring of W(k(C)) where k(C) is the function field of C. We show that the triviality of the Clifford algebra of a bilinear space over C gives the main relation. The calculation is then completed using classical results for bilinear spaces over fields.

Categories: math.AG, math.AC
Subjects: 19G12, 14H99
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