Linkage of Pfister forms over ℂ(x1,…,xn)

We prove the existence of a set of cardinality 2(n) of n-fold Pfister forms over C(x(1), . . . , x(n)) which do not share a common (n - 1)-fold factor. This gives a negative answer to a question raised by Becher. The main tools are the existence of the dyadic valuation on the complex numbers and recent results on symmetric bilinear forms over fields of characteristic 2.