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Licci ideals and the non-almost complete intersection locus

Author(s): Mark R. Johnson
Journal: Proc. Amer. Math. Soc. 129 (2001), 1-7.
MSC (1991): Primary 13C40, 13H10
Posted: June 14, 2000
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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:

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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