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math.AC2017
On Lower Bounds for -multiplicities
Lance Edward Miller, William D. Taylor
A recent continuous family of multiplicity functions on local rings was introduced by Taylor interpolating between Hilbert-Samuel and Hilbert-Kunz multiplicities. The obvious goal…
math.AC2017
The s-multiplicity function of 2x2-determinantal rings
Lance Edward Miller, William D. Taylor
This article generalizes joint work of the first author and I. Swanson to the -multiplicity recently introduced by the second author. For a field and a $m \…
math.AC2017
Interpolating Between Hilbert-Samuel and Hilbert-Kunz Multiplicity
William D. Taylor
We define a function, called s-multiplicity, that interpolates between Hilbert-Samuel multiplicity and Hilbert-Kunz multiplicity by comparing powers of ideals to the Frobenius powe…