English

Equivariant-constructible Koszul duality for dual toric varieties

Algebraic Geometry 2007-05-23 v3

Abstract

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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Cite

@article{arxiv.math/0409495,
  title  = {Equivariant-constructible Koszul duality for dual toric varieties},
  author = {Tom Braden and Valery A. Lunts},
  journal= {arXiv preprint arXiv:math/0409495},
  year   = {2007}
}

Comments

47 pages

R2 v1 2026-07-22T17:10:16.207Z