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Residual intersections and core of modules

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Resource type
Journal Article
Authors/contributors
Title
Residual intersections and core of modules
Abstract
We introduce the notion of residual intersections of modules and prove their existence. We show that projective dimension one modules have Cohen-Macaulay residual intersections, namely they satisfy the relevant Artin-Nagata property. We then establish a formula for the core of orientable modules satisfying certain homological conditions, extending previous results of Corso, Polini, and Ulrich on the core of projective one modules. Finally, we provide examples of classes of modules that satisfy our assumptions.
Publication
Journal of Algebra
Date
2023-09-01
Volume
629
Pages
227-246
Journal Abbr
Journal of Algebra
DOI
10.1016/j.jalgebra.2023.03.035
Citation Key
costantiniResidualIntersectionsCore2023
URL
https://www.sciencedirect.com/science/article/pii/S0021869323001461
Accessed
4/27/23, 1:45 PM
ISSN
0021-8693
Language
en
Library Catalog
ScienceDirect
Extra
0 citations (Crossref) [2023-10-31]
Citation
Costantini, A., Fouli, L., & Hong, J. (2023). Residual intersections and core of modules. Journal of Algebra, 629, 227–246. https://doi.org/10.1016/j.jalgebra.2023.03.035
Link to this record
https://libweb.southernct.edu/authors/bibliography/QKT353S8