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Local Cohomology Modules With Nonclosed Support

Can a noetherian ring have a local cohomology module whose support is not closed - equivalently, one with infinitely many minimal primes? Huneke and Lyubeznik asked; the paper constructs such rings, so the answer is yes.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jul 30, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Local Cohomology Modules With Nonclosed Support · Nonclosed local cohomology

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Bhargav Bhatt
human · human collaborator

Linquan Ma
human · human collaborator

ChatGPT 5.5 / 5.6
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Linquan Ma

This event attributed to Bhargav Bhatt

This event attributed to ChatGPT 5.5 / 5.6

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