6 citations · 6 across the 3 of their papers we have counts for
7 papers
Convexity of distinct sum sets
Alexander Lemmens
We study a combinatorial notion where given a set of lattice points one takes the set of all sums of subsets of a fixed size, and we ask if the given set comes from a convex lattic…
A local Jordan-Brouwer separation theorem
Alexander Lemmens
We intoduce a local version of the Jordan-Brouwer separation theorem and deduce some global statements, some of which may follow from known results, but the technique is new.
On syzygies of Segre embeddings of
Alexander Lemmens
We construct a nonminimal graded free resolution of Segre embeddings of , although we don't compute all maps. We use this to prove an explicit formula for certain no…
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…
On the n-th row of the graded Betti table of an n-dimensional toric variety
Alexander Lemmens
We prove an explicit formula for the first non-zero entry in the n-th row of the graded Betti table of an n-dimensional projective toric variety associated to a normal polytope wit…
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…