A. Katsabekis

activity

20032026

most citedAn indispensable classification of monomial curves in $\mathbb{A}^4(\mathbbmss{k}) $

14 citations · 19 across the 19 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

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.AG2024

Projective closure of Gorenstein monomial curves and the Cohen-Macaulay property

Anargyros Katsabekis

Let $C (a)$ be a Gorenstein non-complete intersection monomial curve in the 4-dimensional affine space. There is a vector $v \in N^{4}$ such that for every inte…

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…