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arxiv: 1006.5315 · v1 · submitted 2010-06-28 · 🧮 math.AG · math.CT

Frobenius splitting and Derived category of toric varieties

classification 🧮 math.AG math.CT
keywords toricbundlescategoryderivedfrobeniuslinesplittingvarieties
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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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