5 citations · 15 across the 7 of their papers we have counts for
7 papers
The Symbolic Generic Initial System of Points on an Irreducible Conic
Sarah Mayes
In this note we study the limiting behaviour of the symbolic generic initial system of an ideal I in K[x,y,z] corresponding to an arrangement of r points of P2 lying on an irreduci…
The Symbolic Generic Initial System of Almost Linear Point Configurations in P2
Sarah Mayes
Consider an ideal I in K[x,y,z] corresponding to a point configuration in P2 where all but one of the points lies on a single line. In this paper we study the symbolic generic init…
Non-simplicial decompositions of Betti diagrams of complete intersections
Courtney Gibbons, Jack Jeffries, Sarah Mayes +3
We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij--Soederberg theory. That is, given a Betti diagram, we decompose it into pure di…
The asymptotic behaviour of symbolic generic initial systems of points in general position
Sarah Mayes
Consider the ideal I corresponding to r points in P^2. We study the symbolic generic initial system of I, formed by taking the generic initial ideals of the symbolic powers of I, a…
The Asymptotics of Symbolic Generic Initial Systems of Six Points in P2
Sarah Mayes
Consider the ideal I in K[x,y,z] corresponding to six points of P2. We study the limiting behaviour of the symbolic generic initial system, of I obtained by taking the reverse lexi…
The Generic Initial Ideals of Powers of a 2-Complete Intersection
Sarah Mayes
We compute the reverse lexicographic generic initial ideals of the powers of a 2-complete intersection ideal I. In particular, we give six algorithms to compute these generic initi…