Cohen-Macaulay Nilpotent Schemes

Details Cohen-Macaulay Nilpotent Schemes Cohen-Macaulay Nilpotent Schemes

2003-12-31

arxiv.org/abs/math/0312514v1

Mathematics

Algebraic Geometry

16 pages. This sketch of a survey will appear in the Proceedings of the German-Romanian Seminar, Cluj-Napoca, September 2003

Scientific paper

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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