Computing the GIT-fan

We present an algorithm to compute the GIT-fan of algebraic torus actions on affine varieties.Comment: minor changes; to appear in Internat. J. Algebra Compu

A software package for Mori dream spaces

Mori dream spaces form a large example class of algebraic varieties, comprising the well known toric varieties. We provide a first software package for the explicit treatment of Mori dream spaces and demonstrate its use by presenting basic sample computations. The software package is accompanied by a Cox ring database which delivers defining data for Cox rings and Mori dream spaces in a suitable format. As an application of the package, we determine the common Cox ring for the symplectic resolutions of a certain quotient singularity investigated by Bellamy/Schedler and Donten-Bury/Wi\'sniewski.Comment: 11 pages, minor changes, to appear in LMS Journal of Computation and Mathematic