gitfanlib - a package for GIT-fans
(for Maple or polymake-Singular or Singular 3.1.6)
Current version: (May / October / November, 2012),
At the moment there are versions for
There also is an early first Macaulay2-implementation here.
Maple by Simon Keicher (requires Maple 10 or above
and the package
by Matthias Franz).
polymake/Singular by Simon Keicher and Thomas Kremer (The Polymake/Singular-version of gitfanlib needs at least polymake 2.11 and Singular 3.1.3 installed),
Singular 3.1.6 by Janko Böhm, Simon Keicher and Yue Ren (requires at leat Singular 3.1.6).
Given the action of a torus \( H \) on an affine variety \( X\), this package provides functions to compute
We assume that \(X\) is given by equations and \(H\) is given by a grading matrix.
- the GIT-fan of the \(H\)-action on \(X\),
- toric orbits intersecting \(X\).
- Maple-version: Download the files
and put them into a directory where Maple can find them.
In a new Maple-session enter "with(gitfanlib);" after loading convex.
polymake/Singular-version: Download the current version and load the extension in polymake by using the command 'found_extension('pathtofolder')'.
Singular-version: download gitfan.lib and load it in Singular by using the command 'LIB "gitfan.lib"'.
There is a manual for the Maple-version. For the other versions: please refer to the respective README file.
updated: November 19, 2012