2004/09/25 by Tom Braden, Braden, Tom, Valery A. Lunts +1
Mathematics · #14M25 #16S37 #18F20 #55N33 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14M25 #msc:16S37 #msc:18F20 #msc:55N33
paper · pdf · doi:10.48550/arxiv.math/0409495
47 pages
arxiv created 2004/10/30 · arxiv updated 2009/12/01
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.