1 citations · 1 across the 2 of their papers we have counts for
9 papers
Local cohomological dimension and depth in mixed characteristic
Linquan Ma
Let be an unramified regular local ring of mixed characteristic and dimension and let be an ideal. We prove that imp…
Perfectoid pure singularities
Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +4
Fix a prime number . Inspired by the notion of -pure or -split singularities, we study the condition that a Noetherian ring with in its Jacobson radical is pure inside…
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 …
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…
Herzog ideals and -singularities
Alessandro De Stefani, Linquan Ma, Matteo Varbaro
In this paper we study the connection between Herzog ideals (i.e., ideals with a squarefree Gröbner degeneration) and -singularities. More precisely, we show that, in positive c…
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…