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Functors on triangulated tensor categories

Published 11 May 2011 in math.AG | (1105.2197v2)

Abstract: We define and study the functorial spectrum for every triangulated tensor category. A reconstruction result for topologically noetherian schemes similar to (and based on) a theorem by Balmer is proved. An alternative proof of the reconstruction theorem by Bondal-Orlov for smooth projective varieties with ample (anti-)canonical bundles is given.

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