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