A software package to compute automorphisms of graded algebras

Abstract

We present a library autgradalg.lib for the free computer algebra system Singular to compute automorphisms of integral, finitely generated C-algebras that are graded pointedly by a finitely generated abelian group. It implements the algorithms developed in 'Computing automorphisms of Mori dream spaces'. We apply the algorithms to Mori dream spaces and investigate the automorphism groups of a series of Fano varieties.

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