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The Hyperkahler Period-Index Conjecture

The counterexamples come with divisibility bounds on the Hodge-theoretic index, at 2-torsion and 5-torsion, on very general hyperkahler fourfolds.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Aug 10, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: The Hyperkahler Period-Index Conjecture · Hyperkahler period-index

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Pieter Belmans
human · human collaborator

James Hotchkiss
human · human collaborator

Unspecified
model · ai model contributor

Lineage and corrections

This event attributed to James Hotchkiss

This event attributed to Pieter Belmans

This event attributed to Unspecified

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The Hyperkahler Period-Index Conjecture — Mathematical Frontier Network