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arXiv · alg-geom/9202018

Arithmetically Cohen-Macaulay Curves cut out by Quadrics

Sheldon Katz
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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.

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Sheldon Katz. 1992-03-23. Arithmetically Cohen-Macaulay Curves cut out by Quadrics. https://arxiv.org/abs/alg-geom/9202018

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