A software package for Mori dream spaces

作者:Hausen Juergen*; Keicher Simon
来源:LMS Journal of Computation and Mathematics, 2015, 18(1): 647-659.
DOI:10.1112/S1461157015000212

摘要

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-Wigniewski.

  • 出版日期2015