The mixed Hodge structure of the complement to an arbitrary arrangement of affine complex hyperplanes is pure

Consider an affine algebraic variety J( = C \ U/=o Ih , where L, are affine complex hyperplanes.We show that the mixed Hodge structure of J( is similar to that of the complex torus C* x x C* , i.e., any element in H* (J?, C) has the Hodge type (/, i).This is another example of the similarity of the properties of complements to arrangements and affine toric varieties.