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Arithmetically Cohen-Macaulay Curves cut out by Quadrics

arXiv:alg-geom/9202018

Abstract

Addressing a question of M. Stillman, it had been shown by Ein, Eisenbud, and the author that in a projective space of dimension at most 5, every arithmetically Cohen-Macaulay curve which is cut out by quadrics scheme- theoretically also has its homogeneous ideal generated by quadrics. In this note it is shown that this is not the case in higher dimensional spaces.

6 pages, LaTeX Version 2.09