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arXiv · 1409.6929

A software package for Mori dream spaces

Juergen Hausen·Simon Keicher
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Abstract

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.

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Juergen Hausen, Simon Keicher. 2014-09-24. A software package for Mori dream spaces. https://doi.org/10.1112/s1461157015000212

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