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The Generalized Vanishing Conjecture

For n <= 2, we proof that the Generalized Vanishing Conjecture holds, and we have a failure at dimension 3 (including a counter-example). This improves the original failure at dimension 5.

Exact FrontierDelta

disproved→disproved

Scope and record

Occurred: Sep 2, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: lean-verified. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.

Canonical aliases: The Generalized Vanishing Conjecture · Generalized Vanishing Conjecture

Confidence: Not scored

Registry verification: lean verified · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

GPT-5.6 Sol
model · ai model contributor · OpenAI

Alexander Dvorsky
human · human collaborator

Roy van Rijn
human · human collaborator

Lineage and corrections

Corrects The Generalized Vanishing Conjecture →

Supersedes The Generalized Vanishing Conjecture →

The Generalized Vanishing Conjecture evidence for this event

The Generalized Vanishing Conjecture parent of this event

The Generalized Vanishing Conjecture evidence for this event

Zhao's Generalized Vanishing Conjecture asks whether, for a differential operator with constant coefficients, $\Lambda^m(P^m) = 0$ for all large $m$ forces $\Lambda^m(P^m Q) = 0$ for all large $m$ . parent of this event

VibeMathed record: The Generalized Vanishing Conjecture evidence for this event

This event attributed to Roy van Rijn

This event attributed to GPT-5.6 Sol

This event attributed to Alexander Dvorsky

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