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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…
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…
Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups
Hanlin Cai, Seungsu Lee, Linquan Ma +2
We define a (perfectoid) mixed characteristic version of -signature and Hilbert-Kunz multiplicity by utilizing the perfectoidization functor of Bhatt-Scholze and Faltings' norma…
Lim Ulrich sequences and Boij-Söderberg cones
Srikanth B. Iyengar, Linquan Ma, Mark E. Walker
This paper extends the results of Boij, Eisenbud, Erman, Schreyer, and Söderberg on the structure of Betti cones of finitely generated graded modules and finite free complexes ove…