English

Tight closure's failure to localize - a self-contained exposition

Commutative Algebra 2009-02-09 v1

Abstract

We give a treatment of the Brenner-Monsky example based on polynomial algebra and linear algebra. No prior knowledge of tight closure theory, Hilbert-Kunz theory, algebraic geometry or local cohomology is assumed.

Cite

@article{arxiv.0902.1120,
  title  = {Tight closure's failure to localize - a self-contained exposition},
  author = {Paul Monsky},
  journal= {arXiv preprint arXiv:0902.1120},
  year   = {2009}
}
R2 v1 2026-06-21T12:08:41.293Z