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The TestIdeals package for Macaulay2
- 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
- Subjects :
- Pure mathematics
Mathematics::Commutative Algebra
Computation
010102 general mathematics
0102 computer and information sciences
Mathematics - Commutative Algebra
Commutative Algebra (math.AC)
01 natural sciences
Mathematics - Algebraic Geometry
010201 computation theory & mathematics
FOS: Mathematics
Gravitational singularity
Prime characteristic
0101 mathematics
Commutative algebra
Algebraic Geometry (math.AG)
Mathematics
13A35, 14F18
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....32b22b583d1ee0b4164a240aa509b8c0
- Full Text :
- https://doi.org/10.48550/arxiv.1810.02770