Koszul duality for toric varieties

Details Koszul duality for toric varieties Koszul duality for toric varieties

2003-08-22

arxiv.org/abs/math/0308216v4

Mathematics

Algebraic Geometry

33 pages; AMS-LaTeX. Revised introduction; other minor corrections. Final version; to appear in Transactions of the AMS

Scientific paper

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.

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