A. Katsabekis

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math.AC2004

Projections of cones and the arithmetical rank of toric varieties

Anargyros Katsabekis

Let $I_{M}$ and $I_{N}$ be defining ideals of toric varieties such that $I_{M}$ is a projection of $I_{N}$ , i.e. $I_{N} \subseteq I_{M}$ . We give necessary and sufficient conditions for the eq…

math.AC2003

Stanley-Reisner rings and the radicals of lattice ideals

Anargyros Katsabekis, Marcel Morales, Apostolos Thoma

In this article we associate to every lattice ideal $I_{L, ρ} \subset K [x_{1}, ..., x_{m}]$ a cone $σ$ and a graph $G_{σ}$ with vertices the minimal generators of the Stanley-Reisner ideal…