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


Abstract in English

In the present paper, we prove that the toric ideals of certain $s$-block diagonal matching fields have quadratic Grobner 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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