4 papers
math.CO2026
On the directions occurring in lattice-line coverings of the integer plane
Jan Snellman
We consider families of lines that cover every point of the integer lattice in the plane, subject to the constraint that no two lines of different direction in the f…
math.AC2025
Infinite Minkowski sums of lattice polyhedra
Jan Snellman
Artinian integrally closed monomial ideals are characterized by their Newton polyhedra, which are lattice polyhedra inside the positive orthant having the positive orthant as their…
math.CO2025
Generating functions for borders
Jan Snellman
We give the generating function for the index of integer lattice points, relative to a finite order ideal. The index is an important concept in the theory of border bases, an alter…
math.CO2025
Laplacians on shifted multicomplexes
Jan Snellman
We define the Laplacian operator on finite multicomplexes and give a formula for its spectra in the case of shifted multicomplexes.