2 papers
math.AC2025
Grade three perfect ideals and length four self-dual resolutions
Lorenzo Guerrieri, Tymoteusz Chmiel, Xianglong Ni +1
Starting with a grade three perfect ideal , we demonstrate how to produce the a self-dual resolution of length four using the resolution of the original ideal. This pr…
math.AC2025
Structure theorems for Gorenstein ideals of codimension four with small number of generators
Tymoteusz Chmiel, Lorenzo Guerrieri, Xianglong Ni +1
In this article we study minimal free resolutions of Gorenstein ideals of codimension four, using methods coming from representation theory. We introduce families of higher structu…