On the maximal graded shifts of ideals and modules

We generalize a result of Eisenbud, Huneke and Ulrich on the maximal graded shifts of a module with prescribed annihilator and prove a linear regularity bound for ideals in a polynomial ring depending only on the first p−c steps in the resolution, where p=pd(S/I) and c=codim(I).

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Bibliographic Details
Published in:Journal of algebra 2021-04, Vol.571, p.121-133
Main Author: McCullough, Jason
Format: Article
Language:English
Subjects:
Free resolution
Polynomial ring
Projective dimension
Regularity
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Description
Summary:We generalize a result of Eisenbud, Huneke and Ulrich on the maximal graded shifts of a module with prescribed annihilator and prove a linear regularity bound for ideals in a polynomial ring depending only on the first p−c steps in the resolution, where p=pd(S/I) and c=codim(I).
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2018.09.037