Vol. 8, No. 1, 2018

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A software package to compute automorphisms of graded algebras

Simon Keicher

Vol. 8 (2018), 11–19
Abstract

We present autgradalg.lib, a Singular library to compute automorphisms of integral, finitely generated -algebras that are graded pointedly by a finitely generated abelian group. The library implements algorithms of Hausen, Keicher and Wolf (Math. Comp. 86 (2017), 2955–2974). We apply these to Mori dream spaces and investigate the automorphism groups of a series of Fano varieties.

Keywords
graded algebras, automorphisms, symmetries, Cox rings, Mori dream spaces, computing, Singular
Mathematical Subject Classification 2010
Primary: 13A02, 13P10, 14J50, 14L30, 14Q15, 13A50
Supplementary material

autgradalg.lib - library for computing certain automorphism groups

Milestones
Received: 16 April 2017
Revised: 18 April 2018
Accepted: 18 May 2018
Published: 29 June 2018
Authors
Simon Keicher
Mathematisches Institut
Universität Tübingen
Tübingen
Germany