English

Hochschild dimensions of tilting objects

Algebraic Geometry 2013-10-15 v2 Category Theory Rings and Algebras

Abstract

We give a new upper bound for the generation time of a tilting object and use it to verify, in some new cases, a conjecture of Orlov on the Rouquier dimension of the derived category of coherent sheaves on a smooth variety.

Keywords

Cite

@article{arxiv.0905.1444,
  title  = {Hochschild dimensions of tilting objects},
  author = {Matthew Ballard and David Favero},
  journal= {arXiv preprint arXiv:0905.1444},
  year   = {2013}
}

Comments

21 pages. Uses the Tikz package. Published version. Comments are encouraged!

R2 v1 2026-06-21T13:00:09.256Z