MiS Preprint Repository

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MiS Preprint

Toric varieties from cyclic matrix groups

Francesco Galuppi and Mima Stanojkovski


We study cyclic groups and semigroups of matrices from an algebraic geometric viewpoint. We prove that the irreducible components of their Zariski closures are toric varieties and study their geometry. In many cases, we are also able to determine their ideal or, in other words, we find all polynomials that vanish on such groups or semigroups. We present an implementation of our results in SageMath.

MSC Codes:
14M25, 20G20

Related publications

2021 Journal Open Access
Francesco Galuppi and Mima Stanojkovski

Toric varieties from cyclic matrix semigroups

In: Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 53 (2021), p. 17