PDF Big Cohen-Macaulay Test Ideals of Mixed Characteristic Toric Schemes

Submitted

A formula for computing the Big Cohen-Macaulay test ideal for monomial ideals of mixed characteristic toric schemes. Of particular interest is that this formula is consistent with the formula for the multiplier ideal and test ideal in equal characteristic.

PDF The TestIdeals Package for Macaulay2

with A. Boix, D. Hernandez, Z. Kadyrsizova, M. Katzman, S. Malec, K. Schwede, D. Smolkin, P. Teixeira and E. Witt
Submitted

Documentation for the TestIdeals package for Macaulay2.

PDF Explicit Hilbert-Kunz functions of 2 x 2 determinantal rings

with Irena Swanson
Pacific Journal of Mathematics 275 (2015)

We give a closed formula for the generalized Hilbert-Kunz function of 2 x 2 determinental rings in arbitrary characteristic.