Koszul duality for toric varieties
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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.References
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Additional Information
- Tom Braden
- Affiliation: Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003
- Email: braden@math.umass.edu
- Received by editor(s): March 23, 2004
- Received by editor(s) in revised form: November 20, 2004
- Published electronically: August 16, 2006
- Additional Notes: This work was supported in part by NSF grant DMS-0201823
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 385-415
- MSC (2000): Primary 14M25, 16S37, 55N33, 18F20
- DOI: https://doi.org/10.1090/S0002-9947-06-03884-0
- MathSciNet review: 2247896