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.
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Contributor : Daniele Faenzi <>
Submitted on : Thursday, July 4, 2019 - 1:29:31 PM
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  • HAL Id : hal-02173257, version 1
  • ARXIV : 1907.02694

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Daniele Faenzi, Francesco Malaspina, Giangiacomo Sanna. Non-Ulrich representation type. 2019. ⟨hal-02173257⟩

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