We present and expand some existing results on the Zariski closure of cyclic groups and semigroups of matrices. We show that, with the exclusion of isolated points, their irreducible components are toric varieties. Additionally, we demonstrate how every toric variety can be realized as the Zariski closure of a cyclic matrix group. Our paper includes a number of explicit examples and a note on existing computational results.

Toric varieties from cyclic matrix semigroups / Galuppi, Francesco; Stanojkovski, Mima. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - 53:(2021). [10.13137/2464-8728/33099]

Toric varieties from cyclic matrix semigroups

Mima Stanojkovski
2021-01-01

Abstract

We present and expand some existing results on the Zariski closure of cyclic groups and semigroups of matrices. We show that, with the exclusion of isolated points, their irreducible components are toric varieties. Additionally, we demonstrate how every toric variety can be realized as the Zariski closure of a cyclic matrix group. Our paper includes a number of explicit examples and a note on existing computational results.
2021
Galuppi, Francesco; Stanojkovski, Mima
Toric varieties from cyclic matrix semigroups / Galuppi, Francesco; Stanojkovski, Mima. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - 53:(2021). [10.13137/2464-8728/33099]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/372838
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