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Non-arithmetically Cohen–Macaulay schemes of wild representation type

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Abstract

The main goal of this short paper is to prove that any non-arithmetically Cohen–Macaulay polarized scheme \((X,\mathscr {O}_X(1))\) of dimension \({{\mathrm{dim}}}(X)\ge 2\), under mild conditions on \(\mathscr {O}_X(1)\), supports arbitrarily large families of non-isomorphic indecomposable aCM vector bundles with respect to \(\mathscr {O}_X(l)\), \(l\ge 3\). Namely, they are of wild representation type.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto, 606-8502, Japan

    Joan Pons-Llopis

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  1. Joan Pons-Llopis
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Correspondence to Joan Pons-Llopis.

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Pons-Llopis, J. Non-arithmetically Cohen–Macaulay schemes of wild representation type. manuscripta math. 158, 149–158 (2019). https://doi.org/10.1007/s00229-018-1019-y

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