论文标题
热带决定性品种和普遍性的维度计算
Dimension computations for tropical determinantal varieties and prevarieties
论文作者
论文摘要
本文证明，当不确定的$ m \ times n $ n $矩阵不是热带基础的$ r \ times r $ $未成年人时，热带的普遍性具有比热带品种更大的尺寸。对于$ n \ times n $ n $对称矩阵的$ r \ times r $ $ $未确定性矩阵的$ r \ times r $ $ $未确定矩阵的$ r \ \ times r $ $未确定性。
This paper proves that when the $r \times r$ minors of an $m \times n$ matrix of indeterminates are not a tropical basis then the tropical prevariety has greater dimension than the tropical variety. It proves the same for the $r \times r$ minors of an $n \times n$ symmetric matrix of indeterminates when r > 4.
