29 citations · 32 across the 6 of their papers we have counts for
8 papers · 1 filter
Minimal solutions of tropical linear differential systems
Dima Grigoriev, Cristhian Garay López
We introduce and study minimal (with respect to inclusion) solutions of systems of tropical linear differential equations. We describe the set of all minimal solutions for a single…
Matroids and semirings attached to toric singularity arrangements
Ethan Cotterill, Cristhian Garay López
Curve singularities are classical objects of study in algebraic geometry. The key player in their combinatorial structure is the {\it value semigroup}, or its compactification, the…
Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology class
E. Javier Elizondo, Alex Fink, Cristhian Garay López
Let be the complex Grassmannian of affine -planes in -space. We study the problem of characterizing the set of algebraic subvarieties of i…
Arithmetic inflection of superelliptic curves
Ethan Cotterill, Ignacio Darago, Cristhian Garay López +2
In this paper, we explore the inflectionary behavior of linear series on superelliptic curves over fields of arbitrary characteristic. Here we give a precise description of the…
Exploring tropical differential equations
Ethan Cotterill, Cristhian Garay, Johana Luviano
The purpose of this paper is fourfold. The first is to develop the theory of tropical differential algebraic geometry from scratch; the second is to present the tropical fundamenta…
Real inflection points of real linear series on an elliptic curve
Ethan Cotterill, Cristhian Garay López
Given a real elliptic curve with non-empty real part and $[D]\in \mbox{Pic}^2 E$ its , we study the real inflection points of distinguished subseries of the complete rea…
Real inflection points of real hyperelliptic curves
Indranil Biswas, Ethan Cotterill, Cristhian Garay López
Given a real hyperelliptic algebraic curve with non-empty real part and a real effective divisor $\mc{D}$ arising via pullback from under the hyperelliptic struc…
The Fundamental Theorem of Tropical Differential Algebraic Geometry
Fuensanta Aroca, Cristhian Garay, Zeinab Toghani
Let be an ideal of the ring of Laurent polynomials with coefficients in a real-valued field . The fundamental theorem of tropical algeb…