伽罗瓦论、泛函Lindemann-Weierstrass和Manin映射
Galois theory, functional Lindemann-Weierstrass, and Manin maps
摘要:
利用对数微分方程的伽罗瓦论,证明了C(t)的代数闭包K上的半交换簇的Ax-Lindemann型的几个新结果.利用相关技巧,我们还给出了K上阿贝尔簇的核定理的一个推广。
英文摘要:
We prove several new results of Ax-Lindemann type for semiabelian varieties over the algebraic closure K of C(t), making heavy use of the Galois theory of logarithmic differential equations. Using related techniques, we also give a generalization of the theorem of the kernel for abelian varieties over K.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。