13 citations · 41 across the 19 of their papers we have counts for
19 papers
A lifting partition theorem for tropical tritangent classes to smooth space sextic curves
Maria Angelica Cueto, Hannah Markwig, Yue Ren
The set of tritangent planes to smooth tropical space sextic curves has 15 connected components, recording continuous displacements of planes preserving the tritangency condition.…
Tropical methods for building real space sextics with totally real tritangent planes
Maria Angelica Cueto, Yoav Len, Hannah Markwig +1
This paper proposes the use of combinatorial techniques from tropical geometry to build the 120 tritangent planes to a given smooth algebraic space sextic. Although the tropical co…
The Milnor fiber conjecture of Neumann and Wahl, and an overview of its proof
Maria Angelica Cueto, Patrick Popescu-Pampu, Dmitry Stepanov
Splice type surface singularities, introduced in 2002 by Neumann and Wahl, provide all examples known so far of integral homology spheres which appear as links of complex isolated…
Local tropicalizations of splice type surface singularities
Maria Angelica Cueto, Patrick Popescu-Pampu, Dmitry Stepanov
Splice type surface singularities were introduced by Neumann and Wahl as a generalization of the class of Pham-Brieskorn-Hamm complete intersections of dimension two. Their constru…
Combinatorics and real lifts of bitangents to tropical quartic curves
Maria Angelica Cueto, Hannah Markwig
Smooth algebraic plane quartics over algebraically closed fields have 28 bitangent lines. Their tropical counterparts often have infinitely many bitangents. They are grouped into s…
Anticanonical tropical cubic del Pezzos contain exactly 27 lines
Maria Angelica Cueto, Anand Deopurkar
The classical statement of Cayley-Salmon that there are 27 lines on every smooth cubic surface in P^3 fails to hold under tropicalization: a tropical cubic surface in TP^3 often co…
Tropical geometry of genus two curves
Maria Angelica Cueto, Hannah Markwig
We exploit three classical characterizations of smooth genus two curves to study their tropical and analytic counterparts. First, we provide a combinatorial rule to determine the d…
How to repair tropicalizations of plane curves using modifications
Maria Angelica Cueto, Hannah Markwig
Tropical geometry is sensitive to embeddings of algebraic varieties inside toric varieties. The purpose of this paper is to advertise tropical modifications as a tool to locally re…
Cremona linearizations of some classical varieties
Ciro Ciliberto, Maria Angelica Cueto, Massimiliano Mella +2
In this paper we present an effective method for linearizing rational varieties of codimension at least two under Cremona transformations, starting from a given parametrization. Us…
Faithful tropicalization of the Grassmannian of planes
Maria Angelica Cueto, Mathias Haebich, Annette Werner
We show that the tropical projective Grassmannian of planes is homeomorphic to a closed subset of the analytic Grassmannian in Berkovich's sense by constructing a continuous sectio…
Mixed Discriminants
Eduardo Cattani, Maria Angelica Cueto, Alicia Dickenstein +2
The mixed discriminant of n Laurent polynomials in n variables is the irreducible polynomial in the coefficients which vanishes whenever two of the roots coincide. The Cayley trick…
Implicitization of surfaces via geometric tropicalization
Maria Angelica Cueto
In this paper we further develop the theory of geometric tropicalization due to Hacking, Keel and Tevelev and we describe tropical methods for implicitization of surfaces. More pre…
An Implicitization Challenge for Binary Factor Analysis
Maria Angelica Cueto, Enrique A. Tobis, Josephine Yu
We use tropical geometry to compute the multidegree and Newton polytope of the hypersurface of a statistical model with two hidden and four observed binary random variables, solvin…
Tropical secant graphs of monomial curves
Maria Angelica Cueto, Shaowei Lin
The first secant variety of a projective monomial curve is a threefold with an action by a one-dimensional torus. Its tropicalization is a three-dimensional fan with a one-dimensio…
Polyhedral geometry of Phylogenetic Rogue Taxa
María Angélica Cueto, Frederick A. Matsen
It is well known among phylogeneticists that adding an extra taxon (e.g. species) to a data set can alter the structure of the optimal phylogenetic tree in surprising ways. However…
Geometry of the restricted Boltzmann machine
Maria Angelica Cueto, Jason Morton, Bernd Sturmfels
The restricted Boltzmann machine is a graphical model for binary random variables. Based on a complete bipartite graph separating hidden and observed variables, it is the binary an…
Tropical mixtures of star tree metrics
Maria Angelica Cueto
We study tree metrics that can be realized as a mixture of two star tree metrics. We prove that the only trees admitting such a decomposition are the ones coming from a tree with a…
The maximum independent sets of de Bruijn graphs of diameter 3
Dustin A. Cartwright, Maria Angelica Cueto, Enrique A. Tobis
The nodes of the de Bruijn graph B(d,3) consist of all strings of length 3, taken from an alphabet of size d, with edges between words which are distinct substrings of a word of le…
Some results on inhomogeneous discriminants
Maria Angelica Cueto, Alicia Dickenstein
We study generalized Horn-Kapranov rational parametrizations of inhomogeneous sparse discriminants from both a theoretical and an algorithmic perspective. We show that all these pa…