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arXiv · 1511.05059

Computing automorphisms of Mori dream spaces

Juergen Hausen·Simon Keicher·Ruediger Wolf
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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 Gröbner bases or tropical varieties.

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Juergen Hausen, Simon Keicher, Ruediger Wolf. 2016-05-27. Computing automorphisms of Mori dream spaces. https://arxiv.org/abs/1511.05059

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