English

Complexity test modules

Commutative Algebra 2007-06-26 v1

Abstract

A method is provided for computing an upper bound of the complexity of a module over a local ring, in terms of vanishing of certain cohomology modules. We then specialize to complete intersections, which are precisely the rings over which all modules have finite complexity.

Keywords

Cite

@article{arxiv.0706.3451,
  title  = {Complexity test modules},
  author = {Petter Andreas Bergh},
  journal= {arXiv preprint arXiv:0706.3451},
  year   = {2007}
}
R2 v1 2026-06-21T08:41:27.319Z