1 citations · 1 across the 8 of their papers we have counts for
9 papers
The polytope of all matroids in ranks 2 and 3
Narayan Collins, Victoria Schleis
We give explicit recursive constructions for the polytope of all matroids in ranks 2 and 3 for all ground set sizes. This polytope was introduced in recent work by Ferron…
Zero-dimensional tropicalizations in OSCAR
Arman Marti-Shahandeh, Yue Ren, Victoria Schleis
We present algorithms for computing zero-dimensional tropical varieties as implemented in OscarZerodimensionalTropicalization.jl. The algorithms include a mathematical workaround f…
Regular subdivisions, bounds on initial ideals, and categorical limits
George Balla, Daniel Corey, Igor Makhlin +1
Several known constructions relate initial degenerations of projective toric varieties and Grassmannians to regular subdivisions of appropriate point configurations. We define a ge…
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.…
Tropical Quiver Grassmannians
Giulia Iezzi, Victoria Schleis
We introduce quivers of valuated matroids and study their tropical parameter spaces. We define quiver Dressians, which parametrize containment of tropical linear spaces after tropi…
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…
Tropical Möbius strips and ruled surfaces
Thomas Blomme, Victoria Schleis
We consider the enumeration of tropical curves in Möbius strips for two different lattice structures and relate them to the enumeration of curves in two rational ruled surfaces ove…
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: …
Recovery of Plane Curves from Branch Points
Daniele Agostini, Hannah Markwig, Clemens Nollau +3
We recover plane curves from their branch points under projection onto a line. Our focus lies on cubics and quartics. These have 6 and 12 branch points respectively. The plane Hurw…