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Linkage and sums of ideals
Author(s):
Mark
R.
Johnson
Journal:
Trans. Amer. Math. Soc.
350
(1998),
1913-1930.
MSC (1991):
Primary 13C40, 13C14
MathSciNet review:
1432202
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Abstract:
It is shown (under mild conditions) that the sum of transversal ideals in a regular local ring cannot lie in the linkage class of a complete intersection. For a sum of geometrically linked Cohen-Macaulay ideals, we compute the depths of the conormal module and the first Koszul homology. As applications, we construct general examples of ideals which are strongly Cohen-Macaulay, strongly nonobstructed but not in the linkage class of a complete intersection, and Gorenstein ideals which are strongly nonobstructed but not syzygetic.
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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/S0002-9947-98-01976-X
PII:
S 0002-9947(98)01976-X
Received by editor(s):
June 10, 1996
Copyright of article:
Copyright
1998,
American Mathematical Society
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