Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 200-02. Commuting Division-Coefficient Forms and the Artinian Eisenbud–Green–Harris Conjecture
Manuscript map · lines 5985–5994
OpenAI@2026-10-07#rem:oai-p-200-02
Authors: OpenAI. Family 200.
Title: Commuting Division-Coefficient Forms and the Artinian Eisenbud–Green–Harris Conjecture.
Abstract: We prove the Eisenbud–Green–Harris conjecture over every characteristic-zero field for homogeneous regular sequences of any positive length, with degrees at least two. Thus every homogeneous ideal containing such a sequence has the Hilbert function of a monomial ideal containing the corresponding pure powers.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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