Equivariant-constructible Koszul duality for dual toric varieties

Details Equivariant-constructible Koszul duality for dual toric varieties Equivariant-constructible Koszul duality for dual toric varieties

2004-09-25

arxiv.org/abs/math/0409495v3

Mathematics

Algebraic Geometry

47 pages

Scientific paper

For a pair of affine toric varieties X and Y defined by dual cones, we define an equivalence between two triangulated categories. The first is a mixed version of the equivariant derived category of X and the second is a mixed version of the derived category of sheaves on Y which are locally constant with unipotent monodromy on each orbit. This equivalence satisfies the Koszul duality formalism of Beilinson, Ginzburg, and Soergel. A similar duality was constructed in math.AG/0308216; this new approach is more canonical.

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