Parimala, R. ; Sridharan, R. (1992) Graded Witt ring and unramified cohomology K-Theory, 6 (1). pp. 29-44. ISSN 0920-3036
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Official URL: http://www.springerlink.com/content/m5862g244156g4...
Related URL: http://dx.doi.org/10.1007/BF00961333
Abstract
It is proved that for a smooth affine curve X over a local ring or global field, the graded Witt ring of X is isomorphic to the graded unramified cohomology ring of X. If X is projective and has a rational point, the same result holds if and only if every quadratic space defined on the complement of a rational point extends to X. Such an extension is possible, for instance, if the canonical line bundle on X is a square in PicX.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Witt Ring; Unramified Étale Cohomology; Signature; Real Spectrum; Cohomological Dimension |
| ID Code: | 34529 |
| Deposited On: | 22 Apr 2011 14:31 |
| Last Modified: | 13 May 2011 19:24 |
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