F. Santos

collaborators

4 papers

math.SG2025

Moduli spaces of Delzant polytopes and symplectic toric manifolds

Ãlvaro Pelayo, Francisco Santos

This paper introduces modern geometric combinatorial technology from the theory of triangulations in order to derive results in toric symplectic geometry. In the main part of the p…

math.CO2025

Associahedra minimize $f$ -vectors of secondary polytopes of planar point sets

Antonio FernÃ¡ndez, Francisco Santos

Kupavskii, Volostnov, and Yarovikov have recently shown that any set of $n$ points in general position in the plane has at least as many (partial) triangulations as the convex $n$ -…

math.CO2024

Realizations of multiassociahedra via rigidity

Luis Crespo Ruiz, Francisco Santos

Let $I^_{k} (n)$ denote the simplicial complex of $(k + 1)$ -crossing-free subsets of edges in $(2 [ n ])$ . Here $k, n \in N$ and $n \geq 2 k + 1$ . Jonsson (2003) proved that (negl…

math.CO2024

Empty simplices of large width

Joseph Doolittle, Lukas KatthÃ¤n, Benjamin Nill +1

An empty simplex is a lattice simplex in which vertices are the only lattice points. We show two constructions leading to the first known empty simplices of width larger than their…

Moduli spaces of Delzant polytopes and symplectic toric manifolds

Associahedra minimize f-vectors of secondary polytopes of planar point sets

Realizations of multiassociahedra via rigidity

Empty simplices of large width

Associahedra minimize $f$ -vectors of secondary polytopes of planar point sets