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New kinds of block diagonal matching fields and toric degenerations of Grassmannians
Akihiro Higashitani, Nobukazu Kowaki · 2025-05-01 · via math.CO updates on arXiv.org

Block diagonal matching field has many previous works. In general, a coherent matching field induces a monomial order to Plücker algebra, and block diagonal matching fields are a kind of coherent matching fields. In the present paper, we introduce a new kind of block diagonal matching fields and study the problem when they give a SAGBI basis. As a corollary, we provide a new family of toric degenerations of Grassmannians by using SAGBI bases.

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