Koszul duality for toric varieties

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We show that certain categories of perverse sheaves on a pair of affine toric varieties defined by dual cones are Koszul dual in the sense of Beilinson, Ginzburg and Soergel. The functor expressing this duality is constructed explicitly using a combinatorial model for mixed sheaves on toric varieties.
33 pages; AMS-LaTeX. Revised introduction; other minor corrections. Final version; to appear in Transactions of the AMS

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