English

Functors on triangulated tensor categories

Algebraic Geometry 2011-07-28 v2

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.

Keywords

Cite

@article{arxiv.1105.2197,
  title  = {Functors on triangulated tensor categories},
  author = {Yu-Han Liu},
  journal= {arXiv preprint arXiv:1105.2197},
  year   = {2011}
}

Comments

24 pages; minor errors corrected

R2 v1 2026-06-21T18:05:43.398Z