Pith. sign in

REVIEW

The Tropical Variety of Symmetric Rank 2 Matrices

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 2404.08121 v2 pith:PAWELE4G submitted 2024-04-11 math.CO math.AG

May Cai , Kisun Lee , Josephine Yu This is my paper · ORCID
classification math.COmath.AG
keywords symmetricmatricesrankbicoloredcomplexsimplicialspacetrees
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We study the tropicalization of the variety of symmetric rank two matrices. Analogously to the result of Markwig and Yu for general tropical rank two matrices, we show that it has a simplicial complex structure as the space of symmetric bicolored trees and that this simplicial complex is shellable. We also discuss some matroid structures arising from this space and present generating functions for the number of symmetric bicolored trees.

Discussion (0). Continue with ORCID to comment.

Pith tools