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, Volume 158, Issue 1–2, pp 149–158 | Cite as

Non-arithmetically Cohen–Macaulay schemes of wild representation type

  • Joan Pons-LlopisEmail author


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.

Mathematics Subject Classification

14F05 13C14 14J60 16G60 


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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceKyoto UniversityKyotoJapan

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