The Eisenbud-Green-Harris conjecture over fields of characteristic zero
Claims the Eisenbud-Green-Harris conjecture over every field of characteristic zero, for homogeneous regular sequences of any positive length with all degrees at least two and with no growth condition on the degrees, via commuting division-coefficient linear forms whose ordered monomials form a basis of the whole polynomial algebra. It does NOT treat positive characteristic. The Betti-number strengthening (lex-plus-powers) is the companion's result, listed separately.
Exact FrontierDelta
Scope and record
Occurred: Sep 23, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: announcement. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.
Canonical aliases: The Eisenbud-Green-Harris conjecture over fields of characteristic zero · Eisenbud-Green-Harris conjecture (char. 0)
Confidence: Not scored
Registry verification: unreviewed · announcement · partial
Attribution
VibeMathed
registry · event recorded by
Unreleased internal OpenAI model
model · ai model contributor · OpenAI
Lineage and corrections
The Eisenbud-Green-Harris conjecture over fields of characteristic zero parent of this event
VibeMathed record: The Eisenbud-Green-Harris conjecture over fields of characteristic zero evidence for this event
This event attributed to Unreleased internal OpenAI model
Claims the Eisenbud-Green-Harris conjecture over every field of characteristic zero, for homogeneous regular sequences of any positive length with all degrees at least two and with no growth condition on the degrees, via commuting division-coefficient linear forms whose ordered monomials form a basis of the whole polynomial algebra. It does NOT treat positive characteristic. The Betti-number strengthening (lex-plus-powers) is the companion's result, listed separately. parent of this event
The lex-plus-powers conjecture over fields of characteristic zero evidence for this event
Eisenbud, Green and Harris, Higher Castelnuovo theory (1993) evidence for this event
Companion: Commuting Division-Coefficient Forms and the Artinian Eisenbud-Green-Harris Conjecture evidence for this event
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