Source authenticated

Simplicity of the Hodge Bundle

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

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Mar 21, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: expert-verified. Publication: peer-reviewed. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Simplicity of the Hodge Bundle · Hodge bundle

Confidence: Not scored

Registry verification: expert verified · peer reviewed · resolved

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

Anand Patel
human · human collaborator

Aletheia (Gemini Deep Think)
model · ai model contributor · Google DeepMind

Lineage and corrections

This event attributed to Anand Patel

This event attributed to Aletheia (Gemini Deep Think)

Act on this frontier

Verify, challenge, or extend the result.

Help verify Open canonical problem

Simplicity of the Hodge Bundle — Mathematical Frontier Network