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Koszul duality for toric varieties

Author(s): Tom Braden
Journal: Trans. Amer. Math. Soc. 359 (2007), 385-415.
MSC (2000): Primary 14M25, 16S37, 55N33, 18F20
Posted: August 16, 2006
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Abstract | References | Similar articles | Additional information

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.

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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

DOI: 10.1090/S0002-9947-06-03884-0
PII: S 0002-9947(06)03884-0
Received by editor(s): March 23, 2004
Received by editor(s) in revised form: November 20, 2004
Posted: August 16, 2006
Additional Notes: This work was supported in part by NSF grant DMS-0201823
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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