Year: 2019
Type: article
Abstract: We describe a Macaulay2 package for computations in prime characteristic commutative algebra.This includes those for Frobenius powers and roots, p -e -linear and p e -linear maps, singularities defined in terms of these maps, different types of test ideals and modules, and ideals compatible with a given p -e -linear map.
Authors: Alberto F. Boix, Daniel Hernández, Zhibek Kadyrsizova, Mordechai Katzman, Sara Malec, Marcus Robinson, Karl Schwede, Daniel Smolkin, Pedro Teixeira, Emily Witt
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Awards: RTG: Algebraic Geometry and Topology at the University of Utah, Local Cohomology, the Frobenius Endomorphism, D-Module Theory, and Invariant Theory, CAREER: Test Ideals and the Geometry of Projective Varieties in Positive Characteristic, Applying the Frobenius Morphism and Convexity to Study Singularities, Commutative Algebra: Singularities in All Characteristics with Geometric Applications, FRG: Collaborative Research: Birational Geometry and Singularities in Zero and Positive Characteristic, Studies in Commutative Algebra and Algebraic Geometry, G6914013769, FRG: Collaborative Research: Birational Geometry and Singularities in Zero and Positive Characteristic, CAREER: Test Ideals and the Geometry of Projective Varieties in Positive Characteristic
OpenAlex ID: W2895480337