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The Aluffi-Chen-Marcolli Real-Rootedness Conjecture

Aluffi, Chen and Marcolli conjectured that the Poincare polynomial of the Deligne-Mumford moduli space $\overline{\mathcal{M}}_{0,n}$ of stable $n$-pointed rational curves has only real roots. True, with simple roots and strict interlacing between consecutive $n$.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: May 27, 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 Aluffi-Chen-Marcolli Real-Rootedness Conjecture · M(0,n) real-rootedness

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Gergely Berczi
human · human collaborator

Young-Hoon Kiem
human · human collaborator

Co-Mathematician
model · ai model contributor

Lineage and corrections

This event attributed to Young-Hoon Kiem

This event attributed to Gergely Berczi

This event attributed to Co-Mathematician

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