7 citations · 7 across the 4 of their papers we have counts for
7 papers
A pithy look at the Polytope Algebra
Federico Castillo
This is a hands on introduction to McMullen's Polytope Algebra. More than interesting on its own, this algebra was McMullen's tool to give a combinatorial proof of the g-theorem.
An effective solution to convex -body -representability
Federico Castillo, Jean-Philippe Labbé, Julia Liebert +3
From a geometric point of view, Pauli's exclusion principle defines a hypersimplex. This convex polytope describes the compatibility of -fermion and -fermion density matrices…
When are multidegrees positive?
Federico Castillo, Yairon Cid-Ruiz, Binglin Li +2
Let be an arbitrary field, be a multiprojective space over , and be a closed subscheme of . We provide…
Hopf monoids of ordered simplicial complexes
Federico Castillo, Jeremy Martin, Jose Alejandro Samper
We study ordered matroids and generalized permutohedra from a Hopf theoretic point of view. Our main object is a Hopf monoid in the vector species of extended generalized permutahe…
On the Todd Class of the Permutohedral variety
Federico Castillo, Fu Liu
In the special case of braid fans, we give a combinatorial formula for the Berline-Vergne's construction for an Euler-Maclaurin type formula that computes number of lattice points…
Coxeter submodular functions and deformations of Coxeter permutahedra
Federico Ardila, Federico Castillo, Christopher Eur +1
We describe the cone of deformations of a Coxeter permutahedron, or equivalently, the nef cone of the toric variety associated to a Coxeter complex. This family of polytopes contai…