8 citations · 13 across the 13 of their papers we have counts for
20 papers
Arrow graphs and their focal curves
Rogier Bos, Filip Cools
The arrow graph of a function consists of two parallel axes, with arrows from input values to output values. The lines through these arrows envelop a curve which we named the focal…
Brill-Noether theory of curves on : tropical and classical approach
Filip Cools, Michele D'Adderio, David Jensen +1
The gonality sequence of a smooth algebraic curve comprises the minimal degrees of linear systems of rank . We explain two approaches to compute the gonal…
Minimal polygons with fixed lattice width
Filip Cools, Alexander Lemmens
We classify the unimodular equivalence classes of inclusion-minimal polygons with a certain fixed lattice width. As a corollary, we find a sharp upper bound on the number of lattic…
Canonical syzygies of smooth curves on toric surfaces
Wouter Castryck, Filip Cools, Jeroen Demeyer +1
In a first part of this paper, we prove constancy of the canonical graded Betti table among the smooth curves in linear systems on Gorenstein weak Fano toric surfaces. In a second…
Computing graded Betti tables of toric surfaces
Wouter Castryck, Filip Cools, Jeroen Demeyer +1
We present various facts on the graded Betti table of a projectively embedded toric surface, expressed in terms of the combinatorics of its defining lattice polygon. These facts in…
The gonality sequence of complete graphs
Filip Cools, Marta Panizzut
The gonality sequence of a finite graph / metric graph / algebraic curve comprises the minimal degrees of linear systems of rank . For the complete graph…