19 citations · 48 across the 19 of their papers we have counts for
13 papers · 1 filter
Scrollar invariants, syzygies and representations of the symmetric group II
Floris Vermeulen
Let be a degree cover of curves. In work by Castryck, Zhao and the author, we showed how one can attach to each partition of a multi-set of scrol…
Scrollar invariants, syzygies and representations of the symmetric group
Wouter Castryck, Floris Vermeulen, Yongqiang Zhao
We give an explicit minimal graded free resolution, in terms of representations of the symmetric group , of a Galois-theoretic configuration of points in $\mathbb{P}^{d-2}…
Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory
Yves Aubry, Wouter Castryck, Sudhir R. Ghorpade +3
We consider the question of determining the maximum number of -rational points that can lie on a hypersurface of a given degree in a weighted projective space over th…
A lower bound for the gonality conjecture
Wouter Castryck
For every integer we construct a -gonal curve along with a very ample divisor of degree (where is the genus of ) to which the vanishing statem…
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…