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We give a characterization of all del Pezzo surfaces of degree 6 over anarbitrary field $F$. A surface is determined by a pair of separable algebras.These algebras are used to compute the Quillen $K$-theory of the surface. As aconsequence, we obtain an index reduction formula for the function field of thesurface.

Del Pezzo Surfaces of degree 6 over an arbitrary field