2 citations · 9 across the 12 of their papers we have counts for
8 papers · 1 filter
Towards tropically counting binodal surfaces
Madeline Brandt, Alheydis Geiger
Tropical counting tools are useful for many enumerative questions. We count tropical multinodal surfaces using floor plans, looking at the case when two nodes are tropically close…
On the Top-Weight Rational Cohomology of
Madeline Brandt, Juliette Bruce, Melody Chan +3
We compute the top-weight rational cohomology of for , , and , and we give some vanishing results for the top-weight rational cohomology of and $ A_{10…
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…
Symmetric powers of algebraic and tropical curves: a non-Archimedean perspective
Madeline Brandt, Martin Ulirsch
We show that the non-Archimedean skeleton of the -th symmetric power of a smooth projective algebraic curve is naturally isomorphic to the -th symmetric power of the trop…
Tropical superelliptic curves
Madeline Brandt, Paul Alexander Helminck
We present an algorithm for computing the Berkovich skeleton of a superelliptic curve over a valued field. After defining superelliptic weighted metric graphs, we show t…
The degree of
Madeline Brandt, DJ Bruce, Taylor Brysiewicz +2
We provide a closed formula for the degree of over an algebraically closed field of characteristic zero. In addition, we describe symbolic and numerical techniques w…
From Curves to Tropical Jacobians and Back
Barbara Bolognese, Madeline Brandt, Lynn Chua
Given a curve defined over an algebraically closed field which is complete with respect to a nontrivial valuation, we study its tropical Jacobian. This is done by first tropicalizi…