论文标题
关于超级领域多重性不平等的鲜明性的示例
Examples on the sharpness of an inequality about multiplicities over hyperfields
论文作者
论文摘要
在本文中，作者介绍了Hyperfields，并根据\ cite {2}和\ cite {3}给出了有关多项式在Hyperfield上的根和倍数的一些事实。然后，他测试了贝克以前的作品中不平等的清晰度\ cite {2}，{2}关于超菲尔德之间同构的倍数行为，并表明在自然同态下的不平等并不急剧$ \ mathbb {c} \ rightarrow \ mathbb {v} $在天然同构中很清晰， $ \ mathbb {r} \ rightarrow \ mathbb {t} $根据贝克和洛尔切德的先前工作\ cite {2}。
In this paper, the author introduces hyperfields and give some facts about the roots and multiplicities of polynomials over hyperfield based on \cite{2} and \cite{3}. Then he tests the sharpness of an inequality in Baker's former work \cite{2} about the behavior of multiplicities under homomorphisms between hyperfields and show that the inequality is not sharp under the natural homomorphisms $\mathbb{C}\rightarrow\mathbb{P}$ and $\mathbb{C}\rightarrow\mathbb{V}$ while it is sharp under the natural homomorphisms $\mathbb{C}\rightarrow\mathbb{K}$, $\mathbb{R}\rightarrow\mathbb{S}$ and $\mathbb{R}\rightarrow\mathbb{T}$ according to the previous work \cite{2} of Baker and Lorscheid.
