English

Cohen-Macaulay Nilpotent Schemes

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0312514,
  title  = {Cohen-Macaulay Nilpotent Schemes},
  author = {Nicolae Manolache},
  journal= {arXiv preprint arXiv:math/0312514},
  year   = {2007}
}

Comments

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