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Licci ideals and the non-almost complete intersection locus


Author: Mark R. Johnson
Journal: Proc. Amer. Math. Soc. 129 (2001), 1-7
MSC (1991): Primary 13C40, 13H10
DOI: https://doi.org/10.1090/S0002-9939-00-05528-3
Published electronically: June 14, 2000
MathSciNet review: 1694867
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Abstract:

We extend results of Huneke and Ulrich on the structure of ideals in the linkage class of a complete intersection, for the class of ideals which are linked to a complete intersection in an even number of steps. In particular for such ideals the non-almost complete intersection locus has codimension at most ten.


References [Enhancements On Off] (What's this?)

  • 1. A. Brown, A structure theorem for a class of grade three perfect ideals, J. Algebra 105 (1987), 308-327. MR 88a:13019
  • 2. C. Huneke and B. Ulrich, The structure of linkage, Annals Math. 126 (1987), 277-334. MR 88k:13020
  • 3. C. Huneke and B. Ulrich, Algebraic linkage, Duke Math. J. 56 (1988), 415-429. MR 89e:13023
  • 4. C. Huneke and B. Ulrich, Local properties of licci ideals, Math. Z. 211 (1992), 129-154. MR 93j:13018
  • 5. B. Ulrich, ``Theory and applications of universal linkage'', in Commutative Algebra and Combinatorics, Advanced Studies in Pure Mathematics 11, North Holland, Amsterdam, 1987, p. 285-301. MR 89k:13022

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Additional Information

Mark R. Johnson
Affiliation: Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701
Email: mark@math.uark.edu

DOI: https://doi.org/10.1090/S0002-9939-00-05528-3
Keywords: Generic link, licci ideal, singular locus
Received by editor(s): February 26, 1998
Received by editor(s) in revised form: March 10, 1999
Published electronically: June 14, 2000
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 2000 American Mathematical Society

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