Log-Concavity of Codimension-Three Pure O-Sequences
For a pure O-sequence $h = (h_0, \dots, h_e)$ of codimension three and type two, is $h_i^2 \ge h_{i-1} h_{i+1}$ for every interior index $i$? The stated monomial case is proved; the broader level-Hilbert-function case remains open.
Exact FrontierDelta
Scope and record
Occurred: May 21, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: lean-verified. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.
Canonical aliases: Log-Concavity of Codimension-Three Pure O-Sequences · Pure O-sequences
Confidence: Not scored
Registry verification: lean verified · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
AlphaProof Nexus
model · ai model contributor · Google DeepMind
Lineage and corrections
This event attributed to AlphaProof Nexus