 Koecher–Vinberg theorem

The Koecher–Vinberg theorem is a result in the field of arithmetic geometry, specifically concerning the structure of certain types of algebraic varieties. This theorem is particularly relevant in the study of symmetric spaces and the theory of quadratic forms. In broad terms, the Koecher–Vinberg theorem addresses the behavior of closed cones in the context of the theory of quadratic forms, stating conditions under which certain cones can be regarded as "nice" with respect to their arithmetic and geometric properties.