English

Linear Degenerate Tropical Flag Varieties

Combinatorics 2023-08-09 v1 Algebraic Geometry

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)(a) points in the linear degenerate flag Dressian, (b)(b) linear degenerate flags of valuated matroids, (c)(c) linear degenerate flags of tropical linear spaces, and (d)(d) morphisms of valuated matroids arising from projection maps.

Cite

@article{arxiv.2308.04193,
  title  = {Linear Degenerate Tropical Flag Varieties},
  author = {Alessio Borzì and Victoria Schleis},
  journal= {arXiv preprint arXiv:2308.04193},
  year   = {2023}
}
R2 v1 2026-06-28T11:50:46.219Z