Minkowski's fundamental inequality for reduced positive quadratic forms(II)
Minkowski's fundamental inequality for reduced positive quadratic forms(II)
Abstract A convex polytope D (α) was defined in Barnes (1978) as the set of Minkowski-reduced forms with prescribed diagonal coefficients α 1 , α 2 ,…α n . A local minimum of the determinant D ( f ) over D (α) must occur at a vertex of D (α). …