Skew graded $(A_{\infty })$ hypersurface singularities

Abstract

For a skew version of a graded $(A_{\infty })$ hypersurface singularity $A$, we study the stable category of graded maximal Cohen-Macaulay modules over $A$. As a consequence, we see that $A$ has countably infinite Cohen-Macaulay representation type and is not a noncommutative graded isolated singularity.

13 pages