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Exceptional collections on toric Fano threefolds and birational geometry
Bernardi and Tirabassi show the existence of full strong exceptional
collections consisting of line bundles on smooth toric Fano -folds under
assuming Bondal's conjecture, which states that the Frobenius push-forward of
the structure sheaf \mc O_X generates the derived category for
smooth projective toric varieties .
In this article, we show Bondal's conjecture for smooth toric Fano -folds
and also improve their result, using birational geometry.Comment: 6 figure
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