TL;DR
This paper presents a Macaulay2 package that facilitates the computation of jet schemes, including jets of ideals, varieties, and graphs, with tools for analyzing their properties.
Contribution
The paper introduces a new Macaulay2 package for computing and analyzing jet schemes, extending capabilities for ideals, varieties, and graph-related structures.
Findings
Efficient computation of jets of ideals and varieties.
Tools for calculating principal components and radicals of monomial ideal jets.
Enhanced capabilities for working with hypergraphs and ring homomorphisms.
Abstract
We introduce a Macaulay2 package for working with jet schemes. The main method constructs jets of ideals, polynomial rings and their quotients, ring homomorphisms, affine varieties, and (hyper)graphs. The package also includes additional methods to compute principal components and radicals of jets of monomial ideals.
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