148 citations · 912 across the 75 of their papers we have counts for
6 papers · 1 filter
A Kunz-type characterization of regular rings via alterations
Linquan Ma, Karl Schwede
We prove that a local domain , essentially of finite type over a field, is regular if and only if for every regular alteration , we have that $R π_* \mathcal{O}…
The TestIdeals package for Macaulay2
Alberto F. Boix, Daniel J. Hernández, Zhibek Kadyrsizova +7
This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes Frobenius powers and roots, -linear and -l…
-signature under birational morphisms
Linquan Ma, Thomas Polstra, Karl Schwede +1
We study -signature under proper birational morphisms , showing that -signature strictly increases for small morphisms or if . In certain cases,…
Seminormalization package for Macaulay2
Karl Schwede, Bernard Serbinowski
This note describes a package for computing seminormalization of rings within Macaulay2.
Divisor package for Macaulay2
Karl Schwede, Zhaoning Yang
This note describes a Macaulay2 package for handling divisors. Group operations for divisors are included. There are methods for converting divisors to reflexive or invertible shea…
Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras
Linquan Ma, Karl Schwede
We utilize recent results of André and Gabber on the existence of weakly functorial integral perfectoid big Cohen-Macaulay (BCM) algebras to study singularities of local rings in m…