Year: 2023
Type: preprint
Abstract: We study linear degenerations of flag varieties from the point of view of tropical geometry. We define the linear degenerate flag Dressian and prove a correspondence between: $(a)$ points in the linear degenerate flag Dressian, $(b)$ linear degenerate flags of valuated matroids, $(c)$ linear degenerate flags of tropical linear spaces, and $(d)$ morphisms of valuated matroids arising from projection maps.
Source: arXiv (Cornell University)
Authors: Borzì, Alessio, Schleis, Victoria
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4385714092