2 papers
math.NT2025
Semigroups of Integer Points in Convex Cones
Grigoriy Blekherman, Jesús A. De Loera, Luze Xu +1
We study the question whether the affine semigroup of integer points in a convex cone can be finitely generated up to symmetries of the cone. We establish general properties of fin…
math.OC2025
Integer Points in Arbitrary Convex Cones: The Case of the PSD and SOC Cones
Jesús A. De Loera, Brittney Marsters, Luze Xu +1
We investigate the semigroup of integer points inside a convex cone. We extend classical results in integer linear programming to integer conic programming. We show that the semigr…