3 papers
math.AG2025
Lattice 3-polytopes of lattice width 2 and corresponding toric hypersurfaces
Martin Bohnert
The Kodaira dimension of a nondegenerate toric hypersurface can be computed from the dimension of the Fine interior of its Newton polytope according to recent work of Victor Batyre…
math.CO2025
The Fine interior of dilations of a rational polytope
Martin Bohnert
A nondegenerate toric hypersurface of negative Kodaira dimension can be characterized by the empty Fine interior of its Newton polytope according to recent work by Victor Batyrev,…
math.CO2025
Quasi-period collapse in half-integral polygons
Martin Bohnert
A half-integral polygon with quasi-period collapse behaves similarly to a lattice polygon in the sense that the number of lattice points in its integer dilates can be calculated as…