3 papers
math.CO2024
Log-concavity for independent sets of valuated matroids
Jeffrey Giansiracusa, Felipe Rincón, Victoria Schleis +1
Recently, several proofs of the Mason--Welsh conjecture for matroids have been found, which asserts the log-concavity of the sequence that counts independent sets of a given size.…
math.AG2023
Faithful tropicalization of hyperelliptic curves
Hannah Markwig, Lukas Ristau, Victoria Schleis
We provide explicit faithful re-embeddings for all hyperelliptic curves of genus at most three and an algorithmic way to construct them. Both in the faithful tropicalization algori…
math.CO2023
Linear Degenerate Tropical Flag Varieties
Alessio Borzì, Victoria Schleis
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: …