The amoeba dimension of a linear space
arxiv(2023)
摘要
Given a complex vector subspace $V$ of $\mathbb{C}^n$, the dimension of the amoeba of $V \cap (\mathbb{C}^*)^n$ depends only on the matroid of $V$. Here we prove that this dimension is given by the minimum of a certain function over all partitions $P_1, \dots, P_k$ of the ground set into nonempty parts $P_i$, as previously conjectured by Rau. We also prove that this formula can be evaluated in polynomial time.
更多查看译文
关键词
amoeba dimension,linear,space
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要