Pith. sign in

REVIEW

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

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2505.00388 v1 pith:R3F3BD4K submitted 2025-05-01 math.CO math.AC

Akihiro Higashitani , Nobukazu Kowaki This is my paper
classification math.COmath.AC
keywords matchingblockdiagonalfieldscoherentdegenerationsfieldgrassmannians
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Block diagonal matching field has many previous works. In general, a coherent matching field induces a monomial order to Pl\"{u}cker 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.

Discussion (0). Sign in to comment.

Pith tools