40 citations · 95 across the 43 of their papers we have counts for
6 papers · 1 filter
The interpolation problem for a set of three fat points in
Giuseppe Favacchio, Elena Guardo
This is an appendix to the recent paper of Favacchio and Guardo. In these notes we describe explicitly a minimal bigraded free resolution and the bigraded Hilbert function of a set…
Plane curves containing a star configuration
E. Carlini, E. Guardo, A. Van Tuyl
Given a collection of general lines in $\pr^2$, the star configuration $\XX(l)$ is the set of points constructed from all pairwise intersections of the…
Classifying ACM sets of points in via separators
Elena Guardo, Adam Van Tuyl
The purpose of this note is to give a new, short proof of a classification of ACM sets of points in in terms of separators.
Star configurations on generic hypersurfaces
Enrico Carlini, Elena Guardo, Adam Van Tuyl
Let be a homogeneous polynomial in . Our goal is to understand a particular polynomial decomposition of ; geometrically, we wish to determine wh…
Asymptotic resurgences for ideals of positive dimensional subschemes of projective space
Elena Guardo, Brian Harbourne, Adam Van Tuyl
Recent work of Ein-Lazarsfeld-Smith and Hochster-Huneke raised the problem of determining which symbolic powers of an ideal are contained in a given ordinary power of the ideal. Bo…
Star configuration points and generic plane curves
Enrico Carlini, Adam Van Tuyl
Consider l lines in P^2 such that no three lines meet in a point. Let X(l) denote all points of intersections of these l lines. We describe all pairs (d,l) such that generic degree…