English

Arithmetically Cohen-Macaulay Curves cut out by Quadrics

alg-geom 2008-02-03 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.alg-geom/9202018,
  title  = {Arithmetically Cohen-Macaulay Curves cut out by Quadrics},
  author = {Sheldon Katz},
  journal= {arXiv preprint arXiv:alg-geom/9202018},
  year   = {2008}
}

Comments

6 pages, LaTeX Version 2.09

R2 v1 2026-07-22T07:41:03.229Z