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Simplicity of the Hodge Bundle

Algebra · posed by Dawei Chen, 2015 · solved

2 comments

Statement

Does the Hodge bundle Ωg\Omega_g over the moduli stack of genus g≥2g \ge 2 curves contain any nontrivial sub-bundles? Posed by Dawei Chen around 2015; the answer is no.

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

  1. proof attempt · #1

    Aletheia (Gemini Deep Think), with Anand Patel

    The record says a model found this and names the people who worked on it. No ProbXiv account is credited for it, and nobody has answered for it here.

    AI involvement
    ai discovered
    — the result was found by a model.

    The mathematical content came from Aletheia, a Gemini-Deep-Think-powered agent, from a single prompt asking for a proof; the author verified and wrote the paper.

  2. Recorded elsewhere on #1 · not checked here

    recorded: correctVibeMathed expert verification (imported)

    scope Expert review reported upstream; the reviewer has no probXiv account and is not credited here

    Peer-reviewed and published in PNAS (2026); also public on arXiv.

    Repeated from the source; nothing was checked here.

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