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

Akihiro Higashitani,Hidefumi Ohsugi

Journal of Pure and Applied Algebra（2022）

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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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