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math.AC2024
Jets and principal components of monomial ideals, and very well-covered graphs
Federico Galetto, Nicholas Iammarino, Teresa Yu
Motivated by using combinatorics to study jets of monomial ideals, we extend a definition of jets from graphs to clutters. We offer some structural results on their vertex covers,…
math.AC2022
The Principal Component of the Jets of a Graph
Nicholas Iammarino
We define the s-order principal component of the jets of a graph and give a description of the primary decomposition of its edge ideal in terms of the minimal vertex covers of the…
math.AC2021★ 5 cited
Computing with jets
Federico Galetto, Nicholas Iammarino
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…