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arXiv · 1908.01415

Toric ideals of Minkowski sums of unit simplices

Akihiro Higashitani·Hidefumi Ohsugi
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Abstract

In this paper, we discuss the toric ideals of Minkowski sums of unit simplices. More precisely, we prove that the toric ideal of Minkowski sum of unit simplices has a squarefree initial ideal and is generated by quadratic binomials. Moreover, we also prove that Minkowski sums of unit simplices have the integer decomposition property. Those results are a partial contribution to Oda conjecture and Bøgvad conjecture.

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Akihiro Higashitani, Hidefumi Ohsugi. 2019-11-29. Toric ideals of Minkowski sums of unit simplices. https://doi.org/10.5802/alco.117

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