English

Upper bounds for dimensions of singularity categories

Commutative Algebra 2012-03-09 v1 Algebraic Geometry Category Theory Representation Theory

Abstract

This paper gives upper bounds for the dimension of the singularity category of a Cohen-Macaulay local ring with an isolated singularity. One of them recovers an upper bound given by Ballard, Favero and Katzarkov in the case of a hypersurface.

Keywords

Cite

@article{arxiv.1203.1683,
  title  = {Upper bounds for dimensions of singularity categories},
  author = {Hailong Dao and Ryo Takahashi},
  journal= {arXiv preprint arXiv:1203.1683},
  year   = {2012}
}
R2 v1 2026-06-21T20:30:49.431Z