24 citations · 49 across the 5 of their papers we have counts for
5 papers
The structure of monotone blow-ups in symplectic toric geometry and a question of McDuff
Álvaro Pelayo, Francisco Santos
Monotone polytopes, also known as smooth reflexive polytopes, are the polytopes associated to monotone symplectic toric manifolds and Gorenstein Fano toric varieties. We first show…
Celebrating Loday's Associahedron
Vincent Pilaud, Francisco Santos, Günter M. Ziegler
We survey Jean-Louis Loday's vertex description of the associahedron, and its far reaching influence in combinatorics, discrete geometry and algebra. We present in particular four…
A Polyhedral Method for Sparse Systems with many Positive Solutions
Frédéric Bihan, Francisco Santos, Pierre-Jean Spaenlehauer
We investigate a version of Viro's method for constructing polynomial systems with many positive solutions, based on regular triangulations of the Newton polytope of the system. Th…
Quotientopes
Vincent Pilaud, Francisco Santos
For any lattice congruence of the weak order on , N. Reading proved that glueing together the cones of the braid fan that belong to the same congruence class define…
Lattice Delone simplices with super-exponential volume
F. Santos, A. Schuermann, F. Vallentin
In this short note we give a construction of an infinite series of Delone simplices whose relative volume grows super-exponentially with their dimension. This dramatically improves…