Functors on triangulated tensor categories

Details Functors on triangulated tensor categories Functors on triangulated tensor categories

2011-05-11

arxiv.org/abs/1105.2197v2

Mathematics

Algebraic Geometry

24 pages; minor errors corrected

Scientific paper

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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