30 citations · 90 across the 6 of their papers we have counts for
6 papers · 1 filter
Paving Tropical Ideals
Nicholas Anderson, Felipe Rincón
Tropical ideals are a class of ideals in the tropical polynomial semiring that combinatorially abstracts the possible collections of supports of all polynomials in an ideal over a…
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…
Stiefel tropical linear spaces
Alex Fink, Felipe Rincón
The tropical Stiefel map associates to a tropical matrix A its tropical Pluecker vector of maximal minors, and thus a tropical linear space L(A). We call the L(A)s obtained in this…
Local tropical linear spaces
Felipe Rincón
In this paper we study general tropical linear spaces locally: For any basis B of the matroid underlying a tropical linear space L, we define the local tropical linear space L_B to…
Computing Tropical Linear Spaces
Felipe Rincón
We define and study the cyclic Bergman fan of a matroid M, which is a simplicial polyhedral fan supported on the tropical linear space T(M) of M and is amenable to computational pu…
Isotropical Linear Spaces and Valuated Delta-Matroids
Felipe Rincón
The spinor variety is cut out by the quadratic Wick relations among the principal Pfaffians of an n x n skew-symmetric matrix. Its points correspond to n-dimensional isotropic subs…