105 citations · 128 across the 28 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math.AC2011
Bounding the First Hilbert Coefficient
Krishna Hanumanthu, Craig Huneke
This paper gives new bounds on the first Hilbert coefficient of an ideal of finite colength in a Cohen-Macaulay local ring. The bound given is quadratic in the multiplicity of the…
math.AC2011
Bounds on the Hilbert-Kunz Multiplicity
Olgur Celikbas, Hailong Dao, Craig Huneke +1
In this paper we give new lower bounds on the Hilbert-Kunz multiplicity of unmixed non-regular local rings, bounding them uniformly away from one. Our results improve previous work…