4 papers
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…
Generic models of licci ideals parametrized by Schur functors
Lorenzo Guerrieri, Xianglong Ni, Jerzy Weyman
Let R be a commutative Noetherian ring. Licci ideals are the ideals of R that can be linked in a finite number of steps to a complete intersection. Each licci ideal admits a rigid…
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…
Residual Intersections and Schubert Varieties
Sara Angela Filippini, Xianglong Ni, Jacinta Torres +1
Inspired by the work of Ulrich and Huneke-Ulrich, we describe a pattern to show that the ideals of certain opposite embedded Schubert varieties defined by this pattern arise by tak…