TEdges - The T-graph of multigraded Hilbert schemes

The Macaulay 2 package TEdges.m2 by Diane Maclagan is available here.

This requires Macaulay 2, which is available for free download here.

This package contains algorithms and computations for the paper The T-graph of a multigraded Hilbert scheme by Milena Hering and Diane Maclagan (arxiv.1110.1861).

Instructions for use:

Save this file as TEdges.m2 in a directory from which you can start Macaulay 2.
Start Macaulay 2 (type M2 at a terminal window, or bring up inside emacs).
At the M2 prompt (or inside emacs), type installPackage "TEdges", and hit return or F11 (depending on whether you use a terminal window or emacs).
Type viewHelp TEdges and return/F11. This will bring up a browser window with the documentation.
The How to use this package page has information about the input and output formats.
The key commands are ComputeGraph, and writeGraph. For example ComputeGraph(7,2) will compute the T-graph for the Hilbert scheme of 7 points in A^2. Look at their documentation pages for other examples of the input format.
The Examples menu contains extended examples computed in the Hering/Maclagan paper.
The data files for section 5.3 are available here: ideals8pointsin4vars.dat, edges8pointsin4vars.dat.
The data files for the table of section 5.4 are available as tar.gz file here.

Site maintained by Diane Maclagan. Last updated 10/10/11.