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Non-Ulrich representation type (1907.02694v2)
Published 5 Jul 2019 in math.AG and math.AC
Abstract: We show that a smooth projective non-degenerate arithmetically Cohen-Macaulay subvariety X of PN 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.
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