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The Aluffi-Chen-Marcolli Real-Rootedness Conjecture

Geometry & topology · posed by Paolo Aluffi, Wenxuan Chen, Matilde Marcolli · solved

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Statement

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

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    Gergely Berczi and Young-Hoon Kiem, using Co-Mathematician

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai co developed
    — a person and a model developed the result together.

    The paper says the proof was found with the assistance of Co-Mathematician, a frontier agentic LLM-based system for mathematical research described in a separate paper, and its title calls the result an AI-assisted proof.

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