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The TestIdeals package for Macaulay2

Authors :
Pedro Teixeira
Mordechai Katzman
Karl Schwede
Emily E. Witt
Daniel J. Hernández
Zhibek Kadyrsizova
Marcus Robinson
Sara Malec
Alberto F. Boix
Daniel Smolkin
Publication Year :
2018
Publisher :
arXiv, 2018.

Abstract

This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes 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.<br />Comment: 21 pages, minor improvements throughout. This paper is the companion to the the latest version of the package (https://github.com/kschwede/Workshop-2017-Berkeley/tree/master/Fsing/TestIdealsPackage), which should be included in 1.15 of Macaulay2 and later

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....32b22b583d1ee0b4164a240aa509b8c0
Full Text :
https://doi.org/10.48550/arxiv.1810.02770