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arXiv:1006.5315 [math.AG]AbstractReferencesReviewsResources

Frobenius splitting and Derived category of toric varieties

L. Costa, R. M. MirĂ³-Roig

Published 2010-06-28Version 1

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.

Comments: 19 pages; To appear Illinois Journal of Mathematics
Categories: math.AG, math.CT
Subjects: 14F05, 14M25
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