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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 …