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math.AC2025
The Briançon-Skoda theorem for pseudo-rational and Du Bois singularities and uniformity in excellent rings
Linquan Ma, Peter M. McDonald, Rebecca R. G. +1
Suppose is an -generated ideal in any ring . We prove a general Briançon-Skoda-type containment relating the integral closure w…
math.AG2025
Lech-Mumford constant and stability of local rings
Linquan Ma, Ilya Smirnov
We study further Mumford's notion of local semistability and, in particular, show that semistable singularities are log canonical under mild assumptions. We provide many new exampl…
math.AC2025
On complete integral closedness of the -adic completion of absolute integral closure
Raymond Heitmann, Linquan Ma
Fix a prime and let be a Noetherian complete local domain of mixed characteristic with fraction field . Let denote the absolute integral clo…