53 citations · 136 across the 20 of their papers we have counts for
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Obstructions to approximating tropical curves in surfaces via intersection theory
Erwan Brugalle, Kristin M. Shaw
We provide some new local obstructions to approximating tropical curves in smooth tropical surfaces. These obstructions are based on the relation between tropical and complex inter…
Lifting representations of finite reductive groups I: Semisimple conjugacy classes
Jeffrey D. Adler, Joshua M. Lansky
Suppose that is a connected reductive group defined over a field , and is a finite group acting via -automorphisms of satisfying a certain quasi-s…
Enumeration of Real Conics and Maximal Configurations
Erwan Brugallé, Nicolas Puignau
We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in $\RP^n$ is maximal. That is, t…
Inflection Points of Real and Tropical Plane Curves
Erwan Brugallé, Lucía López de Medrano
We prove that Viro's patchworking produces real algebraic curves with the maximal number of real inflection points. In particular this implies that maximally inflected real algebra…