OpenAI reports a domain without a small Cohen–Macaulay module
- Mathematics
A three-dimensional complete Noetherian normal local domain containing ℂ, with residue field ℂ, has no nonzero finitely generated module of depth three.
OpenAI reports a domain without a small Cohen–Macaulay module
- Mathematics
A three-dimensional complete Noetherian normal local domain containing ℂ, with residue field ℂ, has no nonzero finitely generated module of depth three.
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Understand the problem ↓Understanding the problem
Read the background
A three-dimensional complete Noetherian normal local domain containing ℂ, with residue field ℂ, has no nonzero finitely generated module of depth three.
Why it matters
If correct, disproves the domain form of the small Cohen–Macaulay module conjecture in dimension three.
What counts as progress
Does every complete local domain have a nonzero finite maximal Cohen–Macaulay module?
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OpenAI reports a domain without a small Cohen–Macaulay module