论文标题
关于决定性品种的最小化
On minimality of determinantal varieties
论文作者
论文摘要
我们证明，固定等级的矩形矩阵，固定等级的偏k对称矩阵和真实对称矩阵的矩形矩阵的半分布集，其特征值的多重性规定了给定尺寸真实矩阵的空间的最低次数。
We prove that semialgebraic sets of rectangular matrices of a fixed rank, of skew-symmetric matrices of a fixed rank and of real symmetric matrices whose eigenvalues have prescribed multiplicities are minimal submanifolds of the space of real matrices of a given size.
