Computing automorphisms of Mori dream spaces
Algebraic Geometry
2016-05-30 v2
Abstract
We present an algorithm to compute the automorphism group of a Mori dream space. As an example calculation, we determine the automorphism groups of singular cubic surfaces with general parameters. The strategy is to study graded automorphisms of affine algebras graded by a finitely generated abelian groups and apply the results to the Cox ring. Besides the application to Mori dream spaces, our results could be used for symmetry based computing, e.g. for Gr\"obner bases or tropical varieties.
Cite
@article{arxiv.1511.05059,
title = {Computing automorphisms of Mori dream spaces},
author = {Juergen Hausen and Simon Keicher and Ruediger Wolf},
journal= {arXiv preprint arXiv:1511.05059},
year = {2016}
}
Comments
18 pages, minor changes. To appear in Mathematics of Computation