Twelve Common Flex Lines in a General Pencil of Cubics
Does a general pencil of plane cubics over $\mathbb{C}$ have exactly $12$ common flex lines? Ciliberto, Miranda and Roé asked this in Remark 5.3 of their paper; the answer is yes.
Exact FrontierDelta
Scope and record
Occurred: Jul 29, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Twelve Common Flex Lines in a General Pencil of Cubics · 12 flex lines
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Jihao Liu
human · human collaborator
Yanze Wang
human · human collaborator
ChatGPT 5.5 Pro + Danus
model · ai model contributor
Lineage and corrections
This event attributed to Yanze Wang
This event attributed to Jihao Liu
This event attributed to ChatGPT 5.5 Pro + Danus