Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 195-01. A Complete Local Domain without a Small Cohen–Macaulay Module
Manuscript map · lines 5885–5894
OpenAI@2026-10-07#rem:oai-p-195-01
Authors: OpenAI. Family 195.
Title: A Complete Local Domain without a Small Cohen–Macaulay Module.
Abstract: We construct a three-dimensional complete Noetherian normal local domain containing ℂ, with residue field ℂ, that has no nonzero finitely generated maximal Cohen–Macaulay module. This disproves the domain form of the small Cohen–Macaulay module conjecture.
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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