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Cohen-Macaulay Nilpotent Schemes

Nicolae Manolache
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Abstract

The first part of this paper, written mainly for nonspecialists, is a short and partial survey about the construction and classification of nilpotent Cohen-Macaulay scheme structures on a scheme "less nilpotent"(e.g. a smooth variety) as support. The second part presents some old and new examples about degree 4 curves in the projective space and inexistence of certain vector bundles.

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Nicolae Manolache. 2003-12-31. Cohen-Macaulay Nilpotent Schemes. https://arxiv.org/abs/math/0312514

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