论文标题

常规的单数微分方程和免费的培养基组

Regular singular differential equations and free proalgebraic groups

论文作者

Wibmer, Michael

论文摘要

我们确定了Riemann球体上所有常规奇异微分方程的家族的差分Galois组。它是一组基数$ | \ Mathbb {C} | $的免费proalgebraic组。

We determine the differential Galois group of the family of all regular singular differential equations on the Riemann sphere. It is the free proalgebraic group on a set of cardinality $|\mathbb{C}|$.

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