Non-Ulrich representation type

Abstract

We show that a smooth projective non-degenerate arithmetically Cohen-Macaulay subvariety X of P^N infinite Cohen-Macaulay type becomes of finite Cohen-Macaulay type by removing Ulrich bundles if and only if N = 5 and X is a quartic scroll or the Segre product of a line and a plane. In turn, we give a complete and explicit classification of ACM bundles over these varieties.

References in corpus (2)

• Codimension one holomorphic distributions on the projective three-space
• Betti Numbers of Syzygies and Cohomology of Coherent Sheaves

Cited by in corpus (2)

• The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties
• Ulrich bundles on the degree six Segre fourfold