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arXiv · 1705.06339

Computing minimal generating systems for some special toric ideals

Dimitrios I. Dais·Ioannis Markakis
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Abstract

Let $X_{P}$ be the projective toric surface associated to a lattice polytope $P$. If the number of lattice points lying on the boundary of $P$ is at least $4$, it is known that $X_{P}$ is embeddable into a suitable projective space as zero set of finitely many quadrics. In this case, the determination of a minimal generating system of the toric ideal defining $X_{P}$ is reduced to a simple Gaussian elimination.

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Dimitrios I. Dais, Ioannis Markakis. 2017-07-10. Computing minimal generating systems for some special toric ideals. https://arxiv.org/abs/1705.06339

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