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This is a Quantitative Study study.

October 16, 2025Open Access

Symbolic Powers of Toric Ideals

Puntos clave

Symbolic powers of toric ideals can be expressed in terms of linear maps derived from their lattice structure.
The paper shows that symbolic powers relate to saturations of regular powers, providing new insights for applications.
The computational results highlight the significance of efficient computation methods for symbolic powers of toric ideals.
Results have implications for algebraic geometry and combinatorial algebra, paving the way for further studies.

Resumen

This paper investigates the symbolic powers of toric ideals. We first describe them in terms of the kernel of certain linear maps derived from the lattice structure of the toric ideal. Furthermore, we apply our results to show that symbolic powers of a toric ideal can also be expressed as saturations of regular powers with the monomial given by the product of all the variables. Finally, we conclude with a computationally significant result for computing symbolic powers of toric ideals.

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Cite This Study

Favacchio et al. (Wed,) studied this question.

synapsesocial.com/papers/68f147cc724575985c3fd161 https://doi.org/https://doi.org/10.48550/arxiv.2505.09709

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