English

Face rings of complexes with singularities

Commutative Algebra 2009-08-12 v1

Abstract

It is shown that the face ring of a pure simplicial complex modulo mm generic linear forms is a ring with finite local cohomology if and only if the link of every face of dimension mm or more is nonsingular.

Keywords

Cite

@article{arxiv.0908.1433,
  title  = {Face rings of complexes with singularities},
  author = {Isabella Novik and Ed Swartz},
  journal= {arXiv preprint arXiv:0908.1433},
  year   = {2009}
}

Comments

8 pages

R2 v1 2026-06-21T13:34:14.681Z