Frobenius splitting and Derived category of toric varieties

Mathematics – Algebraic Geometry

Scientific paper

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19 pages; To appear Illinois Journal of Mathematics

Scientific paper

The splitting of the Frobenius direct image of line bundles on toric
varieties is used to explicitly construct an orthogonal basis of line bundles
in the derived category D^b(X) where X is a Fano toric variety with (almost)
maximal Picard number.

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