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arXiv · 2308.04193

Linear Degenerate Tropical Flag Varieties

Alessio Borzì·Victoria Schleis
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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.

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Alessio Borzì, Victoria Schleis. 2023-08-08. Linear Degenerate Tropical Flag Varieties. https://arxiv.org/abs/2308.04193

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