Apostolos Thoma

activity

20242026

collaborators

4 papers

math.AC2026

Radical splittings of toric ideals

Anargyros Katsabekis, Apostolos Thoma

Let $I_{A} \subset K [x_{1}, \dots, x_{n}]$ be a toric ideal. In this paper, we provide a necessary and sufficient condition for the toric variety $V (I_{A})$ , over an algebraically closed fi…

math.AC2025

On the dimension of the strongly robust complex for configurations in general position

Dimitra Kosta, Apostolos Thoma, Marius Vladoiu

Strongly robust toric ideals are the toric ideals for which the set of indispensable binomials is the Graver basis. The strongly robust simplicial complex $I^_{T}$ of a simple toric…

math.AC2025

Splittings of toric ideals of graphs

Anargyros Katsabekis, Apostolos Thoma

Let $G$ be a simple graph on the vertex set ${v_{1}, \dots, v_{n}}$ . An algebraic object attached to $G$ is the toric ideal $I_{G}$ . We say that $I_{G}$ is subgraph splittable if ther…

math.AC2024

Toric splittings

Anargyros Katsabekis, Apostolos Thoma

The toric ideal $I_{A}$ is splittable if it has a toric splitting; namely, if there exist toric ideals $I_{A_{1}}, I_{A_{2}}$ such that $I_{A} = I_{A_{1}} + I_{A_{2}}$ and $I_{A_{i}} \neq = I_{A}$ for…