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arXiv · 2010.07104

Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians

Akihiro Higashitani·Hidefumi Ohsugi
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Abstract

In the present paper, we prove that the toric ideals of certain $s$-block diagonal matching fields have quadratic Gröbner bases. Thus, in particular, those are quadratically generated. By using this result, we provide a new family of toric degenerations of Grassmannians.

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Akihiro Higashitani, Hidefumi Ohsugi. 2021-05-11. Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians. https://arxiv.org/abs/2010.07104

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