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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
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:
-
- 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:
10.1090/S0002-9939-00-05528-3
PII:
S 0002-9939(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
Posted:
June 14, 2000
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
2000,
American Mathematical Society
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