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math.AC2023
Colength, multiplicity, and ideal closure operations II
Linquan Ma, Pham Hung Quy, Ilya Smirnov
Let be a Noetherian local ring. This paper concerns several extremal invariants arising from the study of the relation between colength and (Hilbert--Samuel or…
math.AC2023
Vanishing and non-negativity of the first normal Hilbert coefficient
Linquan Ma, Pham Hung Quy
Let be a Noetherian local ring such that is reduced. We prove that, when is , if there exists a parameter ideal s…