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arxiv: 1105.2197 · v2 · pith:A7EMJ6HOnew · submitted 2011-05-11 · 🧮 math.AG

Functors on triangulated tensor categories

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keywords reconstructiontensortheoremtriangulatedalternativeampleanti-balmer
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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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