Work

New kinds of block diagonal matching fields and toric degenerations of Grassmannians

Year: 2025

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

Authors: Higashitani, Akihiro, Kowaki, Nobukazu

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Study of toric degenerations of flag varieties from viewpoints of combinatorial mutations

OpenAlex ID: W6979338757

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