KnowraMinkowski's theorem (geometry of numbers)Linked fromLinked fromThe 6 pages that link to Minkowski's theorem (geometry of numbers), each with the reason it gives.All 6Broader topic 1Related 3Compared with 2Algebraic number theoryRelated: It bounds ideal classes and proves that every number-field ideal class has a small representative.Geometry of numbersBroader topic: It gives the basic volume threshold connecting convex regions to lattice points.Dirichlet's unit theoremRelated: Its geometry-of-numbers methods underpin important existence arguments in algebraic number theory.Hermite constantRelated: It provides a general method for bounding shortest lattice vectors and the Hermite constants.Siegel's lemmaCompared with: It offers a geometric existence principle that can yield related lattice-point bounds.Pick's theoremCompared with: It is another central bridge between convex geometry and lattice points, with different hypotheses and conclusions.