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Macquarie University  Department of Mathematics

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Categories in Algebra, Geometry and Mathematical Physics

Conference in honour of Ross Street's sixtieth birthday

July 11-16 2005, Macquarie University, Sydney

Tue, 12 July:  14:00 - 15:00

Derived categories of toric varieties
Bondal, Alexei (Steklov Institute, Moscow)

We shall use a version of the Frobenius morphism to give a description of
derived categories of coherent sheaves on some toric varieties in terms of
constructible sheaves on real tori. We shall construct full exceptional
collections of line bundles for these varieties. We will briefly outline how our picture relates to mirror symmetry for toric varieties.

Typeset PDF of this abstract.