Toric varieties from cyclic matrix semigroups
Algebraic Geometry
2023-11-21 v3
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.
Cite
@article{arxiv.2002.02713,
title = {Toric varieties from cyclic matrix semigroups},
author = {Francesco Galuppi and Mima Stanojkovski},
journal= {arXiv preprint arXiv:2002.02713},
year = {2023}
}
Comments
12 pages, minor revisions, including referee's suggestions. To appear in Rendiconti dell'Istituto di Matematica dell'Universita' di Trieste