Document Type
Article
Publication Date
2-21-2018
Abstract
This article generalizes joint work of the first author and I. Swanson to the s-multiplicity recently introduced by the second author. For k a field and X=[xi,j] a m×n-matrix of variables, we utilize Gröbner bases to give a closed form the length λ(k[X]/(I2(X)+m⌈sq⌉+m[q])) where s∈Z[p−1], q is a sufficiently large power of p, and m is the homogeneous maximal ideal of k[X]. This shows this length is always eventually a {\it polynomial} function of q for all s.
Recommended Citation
L.E. Miller, W.D. Taylor "The s-multiplicity function of 2 X 2-determinantal rings" Proc. Amer. Math. Soc. 146 (2018), 2797-2810 https://doi.org/10.1090/proc/13979