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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…
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…
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…