Apostolos Thoma

activity

20032025

most citedMinimal Generating Sets of Lattice Ideals

9 citations · 30 across the 25 of their papers we have counts for

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24 papers · 1 filter

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 $Δ_{T}$ of a simple toric i…

math.AC2025

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.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…

math.AC2024

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.AC2023

The strongly robust simplicial complex of monomial curves

Dimitra Kosta, Apostolos Thoma, Marius Vladoiu

To every simple toric ideal $I_{T}$ one can associate the strongly robust simplicial complex $Δ_{T}$ , which determines the strongly robust property for all ideals that have $I_{T}$ as th…

math.AC2022

On the strongly robustness property of toric ideals

Dimitra Kosta, Apostolos Thoma, Marius Vladoiu

To every toric ideal one can associate an oriented matroid structure, consisting of a graph and another toric ideal, called bouquet ideal. The connected components of this graph ar…