2024/05/20 by Seyed Hamid Hassanzadeh, Hassanzadeh, S. Hamid, Kevin Vasconcellos +1
Engineering · #Civil and Structural Engineering Research #Commutative Algebra (math.AC) #FOS: Mathematics #Tunneling and Rock Mechanics
paper · pdf · doi:10.48550/arxiv.2405.12170
openalex publication_date 2024/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that in a Cohen-Macaulay local ring, the generic linkage of an ideal I is a deformation of the arbitrary linkage of I. This fact does not need I to be a Cohen-Macaulay ideal. The same holds for s-residual intersections of I when s does not exceed the height of I by one. Under some slight conditions on I, one further generalizes this principle to encompass any s-residual intersection.