Local cohomology modules with nonclosed support

Bhargav Bhatt; Linquan Ma

Local cohomology modules with nonclosed support

Commutative Algebra 2026-07-30 v1 Algebraic Geometry

Authors: Bhargav Bhatt , Linquan Ma

Abstract

We construct noetherian rings admitting local cohomology modules with nonclosed support, or equivalently with infinitely many minimal primes; this answers a question of Huneke--Lyubeznik.

Cite

@article{arxiv.2607.28096,
  title  = {Local cohomology modules with nonclosed support},
  author = {Bhargav Bhatt and Linquan Ma},
  journal= {arXiv preprint arXiv:2607.28096},
  year   = {2026}
}

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16 pages