English

p-torsion elements in local cohomology modules

Commutative Algebra 2007-05-23 v1

Abstract

We construct an example where a local cohomology module of a hypersurface has p-torsion elements for every prime integer p, and consequently has infinitely many associated prime ideals. We also answer a related question of Hochster.

Keywords

Cite

@article{arxiv.math/0406354,
  title  = {p-torsion elements in local cohomology modules},
  author = {Anurag K. Singh},
  journal= {arXiv preprint arXiv:math/0406354},
  year   = {2007}
}