Symmetric ladders and G-biliaison

TL;DR

This paper investigates ideals generated by minors in symmetric matrix ladders, demonstrating they can be derived from linear forms through G-biliaison, thus establishing their glicci property.

Contribution

It introduces a new class of ideals related to symmetric ladders and proves they are glicci via G-biliaison, expanding liaison theory applications.

Findings

Ideals of minors in symmetric ladders are glicci.

They can be obtained from linear forms by ascending G-biliaison.

The study connects ladder ideals with liaison theory.

Abstract

We study the family of ideals generated by minors of mixed size contained in a ladder of a symmetric matrix from the point of view of liaison theory. We prove that they can be obtained from ideals of linear forms by ascending G-biliaison. In particular, they are glicci.