3 problems

The dimension conjecture for Cohen–Macaulay categories of countable representation type
Dimension conjecture. If $R$ has countable $\operatorname{CM}$ -representation type, then
opencohen-macaulay-representation-theory commutative-algebra
0 responses
06
The hypersurface conjecture for Gorenstein rings of countable Cohen–Macaulay representation type
Hypersurface conjecture. If $R$ has countable $\operatorname{CM}$ -representation type, then $R$ is a hypersurface.
opencohen-macaulay-representation-theory commutative-algebra
0 responses
07
The equivalence conjecture for CM finiteness, stable tilting, and derived dimension
Let $(R,\mathbb{L})$ be a Geigle–Lenzing complete intersection, let $d$ be the dimension parameter, and let $A^{\rm CM}$ be its CM endomorphism algebra. A $d$ -tilting object is an…
opencohen-macaulay-representation-theory derived-categories tilting-theory
0 responses
04

The dimension conjecture for Cohen–Macaulay categories of countable representation type