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arxiv: 2010.07104 · v2 · pith:H65LLCHU · submitted 2020-10-14 · math.AC · math.CO

Quadratic Gr\"obner bases of block diagonal matching field ideals and toric degenerations of Grassmannians

Akihiro Higashitani , Hidefumi Ohsugi This is my paper

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classification math.AC math.CO
keywords toricbasesblockdegenerationsdiagonalgrassmanniansidealsmatching
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In the present paper, we prove that the toric ideals of certain $s$-block diagonal matching fields have quadratic Gr\"obner 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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