Branched covers and matrix factorizations

Abstract Let be a regular local ring and non‐zero element of . A theorem due to Knörrer states that there are finitely many isomorphism classes maximal Cohen–Macaulay (CM) ‐modules if only the same is true for double branched cover , is, hypersurface which defined by in We consider an analogue this statement case instead In particular, we show hypersurface, refer as ‐fold has finite CM representation type if, up isomorphism, indecomposable matrix factorizations with factors. As result, give complete list polynomials property characteristic zero. Furthermore, reduced correspond Ulrich modules over