REVIEW 2 cited by
Tropical Incidence Relations, Polytopes, and Concordant Matroids
Not yet reviewed by Pith; the record is open.
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
Tropical Incidence Relations, Polytopes, and Concordant Matroids
read the original abstract
In this paper, we develop a tropical analog of the classical flag variety that we call the flag Dressian. We find relations, which we call "tropical incidence relations", for when one tropical linear space is contained in another, and show that the flag Dressian is a tropical prevariety. In the case of 2-step flag Dressians, which we call "tropical incidence prevarieties", we find an equivalence between points in this space and induced subdivisions of a hypersimplex, generalizing two parts of an equivalence given by D. Speyer for tropical linear spaces. We attempt to generalize the third part of Speyer's equivalence to concordant matroids and obtain some partial results.
Forward citations
Cited by 2 Pith papers
-
Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points
Quiver matroids are defined with morphisms and bundles; their F1-moduli spaces have point counts equaling the Euler characteristic of complex quiver Grassmannians in nice cases.
-
Characterisations of strong $\Delta$-matroids
Five equivalent characterizations of strong Δ-matroids are given, including novel peerless and isolated antipode conditions that yield new local exchange axioms, motivated by tropical equations from the orthogonal Gra...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.