论文标题
最大能力扩展的差分Galois组是免费的
The differential Galois group of the maximal prounipotent extension is free
论文作者
论文摘要
让$ f $是一个特征性的零差分字段，具有代数封闭的常数字段，并考虑所有Picard的Compositum $ f_u $ - $ f $的vessiot Extensions，带有单功能差分差异Galois Group。我们证明$ f $差异的$ f_u $的$ f $差异自动形态是一个免费的prounipotent组。
Let $F$ be a characteristic zero differential field with algebraically closed constant field, and consider the compositum $F_u$ of all Picard--Vessiot extensions of $F$ with unipotent differential Galois group. We prove that the group of $F$ differential automorphisms of $F_u$ is a free prounipotent group.
