Arithmetically Cohen-Macaulay Curves cut out by Quadrics

Mathematics – Algebraic Geometry

Scientific paper

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6 pages, LaTeX Version 2.09

Scientific paper

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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