A counterexample to the small Cohen–Macaulay module conjecture
What the paper claims, in its own words
Constructs a three-dimensional complete Noetherian normal local domain over ℂ with no nonzero finitely generated maximal Cohen–Macaulay module. A three-dimensional local domain essentially of finite type over ℂ has the same property, disproving the domain form of the small Cohen–Macaulay module conjecture.
The plain-language explainer for this entry is still coming.
The original paper
- A Complete Local Domain without a Small Cohen–Macaulay Module (PDF, opens in a new tab) September 23, 2026 Formal proof listed