Source authenticated

Positivity of Chern Classes of Symmetric Powers

The total Chern class of $\mathrm{Sym}^d(\mathbb{C}^n)$ as a torus representation is a symmetric polynomial whose coefficients were conjectured positive, with a binomial log-concavity refinement. Both are established.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: May 24, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Positivity of Chern Classes of Symmetric Powers · Chern class positivity

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Gergely Berczi
human · human collaborator

Laszlo M. Feher
human · human collaborator

AlphaEvolve
model · ai model contributor · Google DeepMind / OpenAI

ChatGPT 5.5 Pro
model · ai model contributor · Google DeepMind / OpenAI

Lineage and corrections

This event attributed to Gergely Berczi

This event attributed to Laszlo M. Feher

This event attributed to AlphaEvolve

This event attributed to ChatGPT 5.5 Pro

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