Our main theorem shows that the regularity of nondegenerate homogeneous prime ideals is
not bounded by any polynomial function of the degree; this holds over any field $ k $. In …

arXiv:2303.01436v1 [math.AG] 2 Mar 2023 Page 1 arXiv:2303.01436v1 [math.AG] 2 Mar
2023 SCHUBERT GEOMETRY AND COMBINATORICS ALEXANDER WOO AND …

We provide a number of new conjectures and questions concerning the syzygies of P 1× P
1. The conjectures are based on computing the graded Betti tables and related data for large …

Let S be a polynomial ring over an algebraically closed field k. Let x and y denote linearly
independent linear forms in S so that p=(x, y) p=(x, y) is a height two prime ideal. This paper …

We characterize the cone of GL-equivariant Betti tables of Cohen–Macaulay modules of
codimension 1, up to rational multiple, over the coordinate ring of square matrices. This …

In this thesis, our main objects of interest are the minimal free resolutions of the tangent
cones of complete intersection monomial curves in affine 4-space. By using the technique of …

Syzygies over a polynomial ring Page 1 Syzygies over a polynomial ring Irena Peeva Abstract
We discuss results and open problems on graded minimal free resolutions over polynomial …

Given a simplicial complex∆ and its barycentric subdivision Sd∆, we explore two
homogeneous systems of parameters: one is the elementary symmetric functions inside the …

We provide a number of new conjectures and questions concerning the syzygies of
$\mathbb {P}^ 1\times\mathbb {P}^ 1$. The conjectures are based on computing the graded …

Let S be a polynomial ring over an algebraically closed field k and \mathfrakp=(x,y,z,w) a
homogeneous height 4 prime ideal. We give a finite characterization of the degree 2 …