MathDBThe very small maximal Cohen–Macaulay module conjecture
The very small maximal Cohen–Macaulay module conjecture
Let be a complete local ring. An MCM module is very small if its multiplicity is at most the equi-parameter degree of .
Very small MCM conjecture. Every complete local ring admits a very small MCM.
This strengthens the small MCM existence problem, and is automatic for local Cohen–Macaulay rings. Its status in general is open.
Sources & referencesView supporting material
Primary source
Hans Schoutens, “Maximal Cohen-Macaulay modules over local toric rings”, arXiv:1408.6220 (2014).
Progress summary
Never refreshed
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.