Koszul duality for toric varieties

Braden, Tom

doi:10.1090/S0002-9947-06-03884-0

Koszul duality for toric varieties
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Trans. Amer. Math. Soc. 359 (2007), 385-415 Request permission

Abstract:

We show that certain categories of perverse sheaves on affine toric varieties $X_\sigma$ and $X_{\sigma ^\vee }$ defined by dual cones are Koszul dual in the sense of Beilinson, Ginzburg and Soergel (1996). The functor expressing this duality is constructed explicitly by using a combinatorial model for mixed sheaves on toric varieties.

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