5 papers
Tropical flag varieties
Madeline Brandt, Christopher Eur, Leon Zhang
Flag matroids are combinatorial abstractions of flags of linear subspaces, just as matroids are of linear subspaces. We introduce the flag Dressian as a tropical analogue of the pa…
A Tropical Count of Binodal Cubic Surfaces
Madeline Brandt, Alheydis Geiger
There are 280 binodal cubic surfaces passing through 17 general points. For the typically used tropical point conditions, we show that 214 of these give tropicalizations such that…
Divisorial motivic zeta functions for marked stable curves
Madeline Brandt, Martin Ulirsch
We define a divisorial motivic zeta function for stable curves with marked points which agrees with Kapranov's motivic zeta function when the curve is smooth and unmarked. We show…
Matroids and their Dressians
Madeline Brandt, David E Speyer
We study Dressians of matroids using the initial matroids of Dress and Wenzel. These correspond to cells in regular matroid subdivisions of matroid polytopes. An efficient algorith…
The slack realization space of a matroid
Madeline Brandt, Amy Wiebe
We introduce a new model for the realization space of a matroid, which is obtained from a variety defined by a saturated determinantal ideal, called the slack ideal, coming from th…