Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 193-01. Positivity of Serre's Intersection Multiplicity
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OpenAI@2026-10-07#rem:oai-p-193-01
Authors: OpenAI. Family 193.
Title: Positivity of Serre's Intersection Multiplicity.
Abstract: We prove Serre's positivity conjecture, including ramified mixed characteristic. If two nonzero finitely generated modules over a regular local ring have tensor product of finite length and complementary dimensions, then their intersection multiplicity is strictly positive.
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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