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math.AC2025
Generalized Hilbert-Kunz Multiplicity for Families of Ideals
Stephen Landsittel, Sudipta Das
In this paper, we initiate a systematic study of the generalized Hilbert-Kunz multiplicity for families of ideals in a Noetherian local ring (R,m) of positive characteristic, and i…
math.AC2025
Analytic spread of binomial edge ideals
Eduardo Camps-Moreno, Deblina Dey, Souvik Dey +5
We investigate the analytic spread of binomial edge ideals of finite simple graphs. We provide tight bounds for this invariant in general. For special families of graphs (e.g., clo…
math.AC2025
Some Formulas for Epsilon Multiplicity in Local Rings
Stephen Landsittel
We prove that the epsilon multiplicity exists in a Noetherian local ring whenever the nildradical of the completion of R has nonmaximal dimension. We also extend the volume equals…