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A purity theorem for the witt group

A purity theorem for the witt group

Let A be a regular local ring and K its field of fractions. We denote by W the Witt group functor that classifies quadratic spaces. We say that purity holds for A if W(A) is the intersection of all W(Ap) ⊂ W(K), as p runs over the height-one prime ideals …