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

Published 14 Oct 2020 in math.AC and math.CO | (2010.07104v2)

Abstract: 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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