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math.AC2024
Asymptotic colengths for families of ideals: an analytic approach
Sudipta Das, Cheng Meng
This article focuses on the existence of asymptotic colengths for families of $\fm_{R}$-primary ideals in a Noetherian local ring $(R,\fm)$. In any characteristic, we generalize gr…
math.AC2024
Rational powers, invariant ideals, and the summation formula
Sankhaneel Bisui, Sudipta Das, Tài Huy Hà +1
We provide explicit descriptions for the rational powers and Rees valuations of several classes of ideals invariant under natural actions of tori and products of general linear gro…