Spinor equivalence of quadratic forms. (English) Zbl 0532.10012
Let f be an integral quadratic form in three or more variables and g any form in the genus of f. The main theorem of the paper says: Then there is an effectively determinable prime p and a form g’, belonging to the proper spinor genus of g, such that g’ is a p-neighbour of f in the graph of f. This can be used for an explicit decision procedure for the spinor equivalence of quadratic forms; a different decision procedure has been given by J. W. S. Cassels in his book ”Rational quadratic forms” (1978; Zbl 0395.10029).
Reviewer: M.Peters
MSC:
11E12 | Quadratic forms over global rings and fields |
Citations:
Zbl 0395.10029References:
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