Koszul homology and the structure of low codimension Cohen-Macaulay ideals
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- by Wolmer V. Vasconcelos PDF
- Trans. Amer. Math. Soc. 301 (1987), 591-613 Request permission
Abstract:
The relationship between the properties of the Koszul homology modules of two ideals connected by linkage is studied. If the ideal $I$ is either (i) a Cohen-Macaulay ideal of codimension 3, or (ii) a Gorenstein ideal of codimension 4, the one-dimensional Koszul module carries considerable information on the structural nature of the linkage class of $I$ in case (i), or on the conormal module of $I$ in case (ii). Emphasis is given to the verification of the properties by computation.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 301 (1987), 591-613
- MSC: Primary 13H10; Secondary 13C15
- DOI: https://doi.org/10.1090/S0002-9947-1987-0882705-X
- MathSciNet review: 882705