23 citations · 23 across the 2 of their papers we have counts for
5 papers
Chern-Schwartz-MacPherson cycles of matroids
Lucia Lopez de Medrano, Felipe Rincon, Kristin Shaw
We define Chern-Schwartz-MacPherson (CSM) cycles of an arbitrary matroid. These are balanced weighted fans supported on the skeleta of the corresponding Bergman fan. In the case th…
On maximally inflected hyperbolic curves
Aubin Arroyo, Erwan Brugallé, Lucia López de Medrano
In this note we study the distribution of real inflection points among the ovals of a real non-singular hyperbolic curve of even degree. Using Hilbert's method we show that for any…
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…
Puiseux power series solutions for systems of equations
Fuensanta Aroca, Giovanna Ilardi, Lucia Lopez de Medrano
We give an algorithm to compute term by term multivariate Puiseux series expansions of series arising as local parametrizations of zeroes of systems of algebraic equations at singu…
Recursive formulas for Welschinger invariants of the projective plane
Aubin Arroyo, Erwan Brugalle, Lucia Lopez de Medrano
Welschinger invariants of the real projective plane can be computed via the enumeration of enriched graphs, called marked floor diagrams. By a purely combinatorial study of these o…